Finding the Fourth Proportional to 9,114.29, 12,577.71 and 4,922.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.29 : 12,577.71 = 4,922.54 : x
2. Step 2: Convert to fraction form
   9,114.29/12,577.71 = 4,922.54/x
3. Step 3: Cross multiply
   9,114.29x = 12,577.71 × 4,922.54
4. Step 4: Simplify right side
   9,114.29x = 61,914,217.69
5. Step 5: Solve for x
   x = 61,914,217.69/9,114.29
6. Step 6: Final answer
   x = 6,793.10