Finding the Fourth Proportional to 9,085.72, 12,536.06 and 5,547.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.72 : 12,536.06 = 5,547.64 : x
2. Step 2: Convert to fraction form
   9,085.72/12,536.06 = 5,547.64/x
3. Step 3: Cross multiply
   9,085.72x = 12,536.06 × 5,547.64
4. Step 4: Simplify right side
   9,085.72x = 69,545,547.90
5. Step 5: Solve for x
   x = 69,545,547.90/9,085.72
6. Step 6: Final answer
   x = 7,654.38