Finding the Fourth Proportional to 9,126.25, 12,594.42 and 5,146.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,126.25 : 12,594.42 = 5,146.61 : x
2. Step 2: Convert to fraction form
   9,126.25/12,594.42 = 5,146.61/x
3. Step 3: Cross multiply
   9,126.25x = 12,594.42 × 5,146.61
4. Step 4: Simplify right side
   9,126.25x = 64,818,504.94
5. Step 5: Solve for x
   x = 64,818,504.94/9,126.25
6. Step 6: Final answer
   x = 7,102.43