Finding the Fourth Proportional to 9,762.12, 13,470.88 and 5,782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.12 : 13,470.88 = 5,782.56 : x
2. Step 2: Convert to fraction form
   9,762.12/13,470.88 = 5,782.56/x
3. Step 3: Cross multiply
   9,762.12x = 13,470.88 × 5,782.56
4. Step 4: Simplify right side
   9,762.12x = 77,896,171.85
5. Step 5: Solve for x
   x = 77,896,171.85/9,762.12
6. Step 6: Final answer
   x = 7,979.43