Finding the Fourth Proportional to 10,569.42, 14,589.06 and 6,096.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.42 : 14,589.06 = 6,096.18 : x
2. Step 2: Convert to fraction form
   10,569.42/14,589.06 = 6,096.18/x
3. Step 3: Cross multiply
   10,569.42x = 14,589.06 × 6,096.18
4. Step 4: Simplify right side
   10,569.42x = 88,937,535.79
5. Step 5: Solve for x
   x = 88,937,535.79/10,569.42
6. Step 6: Final answer
   x = 8,414.61