Finding the Fourth Proportional to 10,854.50, 14,979.24 and 5,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854.50 : 14,979.24 = 5,886.50 : x
2. Step 2: Convert to fraction form
   10,854.50/14,979.24 = 5,886.50/x
3. Step 3: Cross multiply
   10,854.50x = 14,979.24 × 5,886.50
4. Step 4: Simplify right side
   10,854.50x = 88,175,296.26
5. Step 5: Solve for x
   x = 88,175,296.26/10,854.50
6. Step 6: Final answer
   x = 8,123.39