Finding the Fourth Proportional to 1,909.94, 2,864.61 and 523.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,909.94 : 2,864.61 = 523.38 : x
2. Step 2: Convert to fraction form
   1,909.94/2,864.61 = 523.38/x
3. Step 3: Cross multiply
   1,909.94x = 2,864.61 × 523.38
4. Step 4: Simplify right side
   1,909.94x = 1,499,279.89
5. Step 5: Solve for x
   x = 1,499,279.89/1,909.94
6. Step 6: Final answer
   x = 784.99