Finding the Fourth Proportional to 9,736.52, 13,435.62 and 5,757.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.52 : 13,435.62 = 5,757.80 : x
2. Step 2: Convert to fraction form
   9,736.52/13,435.62 = 5,757.80/x
3. Step 3: Cross multiply
   9,736.52x = 13,435.62 × 5,757.80
4. Step 4: Simplify right side
   9,736.52x = 77,359,612.84
5. Step 5: Solve for x
   x = 77,359,612.84/9,736.52
6. Step 6: Final answer
   x = 7,945.30