Finding the Fourth Proportional to 510,861.92, 705,011.31 and 284,507.42

Step by Step Solution

1. Step 1: Write the proportion equation
   510,861.92 : 705,011.31 = 284,507.42 : x
2. Step 2: Convert to fraction form
   510,861.92/705,011.31 = 284,507.42/x
3. Step 3: Cross multiply
   510,861.92x = 705,011.31 × 284,507.42
4. Step 4: Simplify right side
   510,861.92x = 200,580,945,353.86
5. Step 5: Solve for x
   x = 200,580,945,353.86/510,861.92
6. Step 6: Final answer
   x = 392,632.41