Finding the Fourth Proportional to 9,085.98, 12,538.47 and 5,107.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.98 : 12,538.47 = 5,107.05 : x
2. Step 2: Convert to fraction form
   9,085.98/12,538.47 = 5,107.05/x
3. Step 3: Cross multiply
   9,085.98x = 12,538.47 × 5,107.05
4. Step 4: Simplify right side
   9,085.98x = 64,034,593.21
5. Step 5: Solve for x
   x = 64,034,593.21/9,085.98
6. Step 6: Final answer
   x = 7,047.63