Finding the Fourth Proportional to 10,592.78, 14,617.46 and 5,876.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.78 : 14,617.46 = 5,876.76 : x
2. Step 2: Convert to fraction form
   10,592.78/14,617.46 = 5,876.76/x
3. Step 3: Cross multiply
   10,592.78x = 14,617.46 × 5,876.76
4. Step 4: Simplify right side
   10,592.78x = 85,903,304.23
5. Step 5: Solve for x
   x = 85,903,304.23/10,592.78
6. Step 6: Final answer
   x = 8,109.61