Finding the Fourth Proportional to 10,592.64, 14,617.82 and 5,876.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.64 : 14,617.82 = 5,876.91 : x
2. Step 2: Convert to fraction form
   10,592.64/14,617.82 = 5,876.91/x
3. Step 3: Cross multiply
   10,592.64x = 14,617.82 × 5,876.91
4. Step 4: Simplify right side
   10,592.64x = 85,907,583.15
5. Step 5: Solve for x
   x = 85,907,583.15/10,592.64
6. Step 6: Final answer
   x = 8,110.12