Finding the Fourth Proportional to 9,760.17, 13,470.26 and 5,782.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.17 : 13,470.26 = 5,782.80 : x
2. Step 2: Convert to fraction form
   9,760.17/13,470.26 = 5,782.80/x
3. Step 3: Cross multiply
   9,760.17x = 13,470.26 × 5,782.80
4. Step 4: Simplify right side
   9,760.17x = 77,895,790.61
5. Step 5: Solve for x
   x = 77,895,790.61/9,760.17
6. Step 6: Final answer
   x = 7,980.99