Finding the Fourth Proportional to 9,761.10, 13,471.47 and 5,782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,761.10 : 13,471.47 = 5,782.38 : x
2. Step 2: Convert to fraction form
   9,761.10/13,471.47 = 5,782.38/x
3. Step 3: Cross multiply
   9,761.10x = 13,471.47 × 5,782.38
4. Step 4: Simplify right side
   9,761.10x = 77,897,158.70
5. Step 5: Solve for x
   x = 77,897,158.70/9,761.10
6. Step 6: Final answer
   x = 7,980.37