Finding the Fourth Proportional to 9,086.31, 12,538.53 and 5,548.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.31 : 12,538.53 = 5,548.77 : x
2. Step 2: Convert to fraction form
   9,086.31/12,538.53 = 5,548.77/x
3. Step 3: Cross multiply
   9,086.31x = 12,538.53 × 5,548.77
4. Step 4: Simplify right side
   9,086.31x = 69,573,419.11
5. Step 5: Solve for x
   x = 69,573,419.11/9,086.31
6. Step 6: Final answer
   x = 7,656.95