Finding the Fourth Proportional to 10,845.50, 14,966.80 and 5,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,845.50 : 14,966.80 = 5,877.50 : x
2. Step 2: Convert to fraction form
   10,845.50/14,966.80 = 5,877.50/x
3. Step 3: Cross multiply
   10,845.50x = 14,966.80 × 5,877.50
4. Step 4: Simplify right side
   10,845.50x = 87,967,367
5. Step 5: Solve for x
   x = 87,967,367/10,845.50
6. Step 6: Final answer
   x = 8,110.96