Finding the Fourth Proportional to 10,530.96, 14,532.72 and 5,815.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530.96 : 14,532.72 = 5,815.20 : x
2. Step 2: Convert to fraction form
   10,530.96/14,532.72 = 5,815.20/x
3. Step 3: Cross multiply
   10,530.96x = 14,532.72 × 5,815.20
4. Step 4: Simplify right side
   10,530.96x = 84,510,673.34
5. Step 5: Solve for x
   x = 84,510,673.34/10,530.96
6. Step 6: Final answer
   x = 8,024.97