Finding the Fourth Proportional to 9,760.10, 13,470.09 and 5,781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.10 : 13,470.09 = 5,781.38 : x
2. Step 2: Convert to fraction form
   9,760.10/13,470.09 = 5,781.38/x
3. Step 3: Cross multiply
   9,760.10x = 13,470.09 × 5,781.38
4. Step 4: Simplify right side
   9,760.10x = 77,875,708.92
5. Step 5: Solve for x
   x = 77,875,708.92/9,760.10
6. Step 6: Final answer
   x = 7,978.99