Finding the Fourth Proportional to 9,086.16, 12,539.14 and 5,107.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.16 : 12,539.14 = 5,107.02 : x
2. Step 2: Convert to fraction form
   9,086.16/12,539.14 = 5,107.02/x
3. Step 3: Cross multiply
   9,086.16x = 12,539.14 × 5,107.02
4. Step 4: Simplify right side
   9,086.16x = 64,037,638.76
5. Step 5: Solve for x
   x = 64,037,638.76/9,086.16
6. Step 6: Final answer
   x = 7,047.82