Finding the Fourth Proportional to 10,592.14, 14,618.04 and 5,877.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.14 : 14,618.04 = 5,877.40 : x
2. Step 2: Convert to fraction form
   10,592.14/14,618.04 = 5,877.40/x
3. Step 3: Cross multiply
   10,592.14x = 14,618.04 × 5,877.40
4. Step 4: Simplify right side
   10,592.14x = 85,916,068.30
5. Step 5: Solve for x
   x = 85,916,068.30/10,592.14
6. Step 6: Final answer
   x = 8,111.30