Finding the Fourth Proportional to 11,610.80, 17,415.15 and 5,685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,610.80 : 17,415.15 = 5,685.38 : x
2. Step 2: Convert to fraction form
   11,610.80/17,415.15 = 5,685.38/x
3. Step 3: Cross multiply
   11,610.80x = 17,415.15 × 5,685.38
4. Step 4: Simplify right side
   11,610.80x = 99,011,658.43
5. Step 5: Solve for x
   x = 99,011,658.43/11,610.80
6. Step 6: Final answer
   x = 8,527.55