Finding the Fourth Proportional to 9,085.87, 12,538.45 and 5,107.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.87 : 12,538.45 = 5,107.02 : x
2. Step 2: Convert to fraction form
   9,085.87/12,538.45 = 5,107.02/x
3. Step 3: Cross multiply
   9,085.87x = 12,538.45 × 5,107.02
4. Step 4: Simplify right side
   9,085.87x = 64,034,151.35
5. Step 5: Solve for x
   x = 64,034,151.35/9,085.87
6. Step 6: Final answer
   x = 7,047.66