Finding the Fourth Proportional to 10,531.50, 14,533.28 and 5,815.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,531.50 : 14,533.28 = 5,815.68 : x
2. Step 2: Convert to fraction form
   10,531.50/14,533.28 = 5,815.68/x
3. Step 3: Cross multiply
   10,531.50x = 14,533.28 × 5,815.68
4. Step 4: Simplify right side
   10,531.50x = 84,520,905.83
5. Step 5: Solve for x
   x = 84,520,905.83/10,531.50
6. Step 6: Final answer
   x = 8,025.53