Finding the Fourth Proportional to 9,085.12, 12,537.78 and 5,106.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.12 : 12,537.78 = 5,106.15 : x
2. Step 2: Convert to fraction form
   9,085.12/12,537.78 = 5,106.15/x
3. Step 3: Cross multiply
   9,085.12x = 12,537.78 × 5,106.15
4. Step 4: Simplify right side
   9,085.12x = 64,019,785.35
5. Step 5: Solve for x
   x = 64,019,785.35/9,085.12
6. Step 6: Final answer
   x = 7,046.66