Finding the Fourth Proportional to 9,785.96, 14,642.52 and 5,839.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.96 : 14,642.52 = 5,839.32 : x
2. Step 2: Convert to fraction form
   9,785.96/14,642.52 = 5,839.32/x
3. Step 3: Cross multiply
   9,785.96x = 14,642.52 × 5,839.32
4. Step 4: Simplify right side
   9,785.96x = 85,502,359.89
5. Step 5: Solve for x
   x = 85,502,359.89/9,785.96
6. Step 6: Final answer
   x = 8,737.25