Finding the Fourth Proportional to 10,557.42, 14,569.20 and 5,841.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.42 : 14,569.20 = 5,841.60 : x
2. Step 2: Convert to fraction form
   10,557.42/14,569.20 = 5,841.60/x
3. Step 3: Cross multiply
   10,557.42x = 14,569.20 × 5,841.60
4. Step 4: Simplify right side
   10,557.42x = 85,107,438.72
5. Step 5: Solve for x
   x = 85,107,438.72/10,557.42
6. Step 6: Final answer
   x = 8,061.39