Finding the Fourth Proportional to 510,978.28, 705,171.78 and 284,623.88

Step by Step Solution

1. Step 1: Write the proportion equation
   510,978.28 : 705,171.78 = 284,623.88 : x
2. Step 2: Convert to fraction form
   510,978.28/705,171.78 = 284,623.88/x
3. Step 3: Cross multiply
   510,978.28x = 705,171.78 × 284,623.88
4. Step 4: Simplify right side
   510,978.28x = 200,708,728,090.11
5. Step 5: Solve for x
   x = 200,708,728,090.11/510,978.28
6. Step 6: Final answer
   x = 392,793.07