Finding the Fourth Proportional to 10,592.98, 14,619 and 5,877.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.98 : 14,619 = 5,877.27 : x
2. Step 2: Convert to fraction form
   10,592.98/14,619 = 5,877.27/x
3. Step 3: Cross multiply
   10,592.98x = 14,619 × 5,877.27
4. Step 4: Simplify right side
   10,592.98x = 85,919,810.13
5. Step 5: Solve for x
   x = 85,919,810.13/10,592.98
6. Step 6: Final answer
   x = 8,111.01