Finding the Fourth Proportional to 9,732.00, 13,430.31 and 5,753.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.00 : 13,430.31 = 5,753.78 : x
2. Step 2: Convert to fraction form
   9,732.00/13,430.31 = 5,753.78/x
3. Step 3: Cross multiply
   9,732.00x = 13,430.31 × 5,753.78
4. Step 4: Simplify right side
   9,732.00x = 77,275,086.25
5. Step 5: Solve for x
   x = 77,275,086.25/9,732.00
6. Step 6: Final answer
   x = 7,940.31