Finding the Fourth Proportional to 9,085.86, 12,535.45 and 5,106.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.86 : 12,535.45 = 5,106.13 : x
2. Step 2: Convert to fraction form
   9,085.86/12,535.45 = 5,106.13/x
3. Step 3: Cross multiply
   9,085.86x = 12,535.45 × 5,106.13
4. Step 4: Simplify right side
   9,085.86x = 64,007,593.20
5. Step 5: Solve for x
   x = 64,007,593.20/9,085.86
6. Step 6: Final answer
   x = 7,044.75