Finding the Fourth Proportional to 9,085.11, 12,537.77 and 5,106.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.11 : 12,537.77 = 5,106.15 : x
2. Step 2: Convert to fraction form
   9,085.11/12,537.77 = 5,106.15/x
3. Step 3: Cross multiply
   9,085.11x = 12,537.77 × 5,106.15
4. Step 4: Simplify right side
   9,085.11x = 64,019,734.29
5. Step 5: Solve for x
   x = 64,019,734.29/9,085.11
6. Step 6: Final answer
   x = 7,046.67