Finding the Fourth Proportional to 9,086.10, 12,539.47 and 5,549.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.10 : 12,539.47 = 5,549.97 : x
2. Step 2: Convert to fraction form
   9,086.10/12,539.47 = 5,549.97/x
3. Step 3: Cross multiply
   9,086.10x = 12,539.47 × 5,549.97
4. Step 4: Simplify right side
   9,086.10x = 69,593,682.32
5. Step 5: Solve for x
   x = 69,593,682.32/9,086.10
6. Step 6: Final answer
   x = 7,659.36