Finding the Fourth Proportional to 9,086.22, 12,537.63 and 5,106.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.22 : 12,537.63 = 5,106.57 : x
2. Step 2: Convert to fraction form
   9,086.22/12,537.63 = 5,106.57/x
3. Step 3: Cross multiply
   9,086.22x = 12,537.63 × 5,106.57
4. Step 4: Simplify right side
   9,086.22x = 64,024,285.23
5. Step 5: Solve for x
   x = 64,024,285.23/9,086.22
6. Step 6: Final answer
   x = 7,046.31