Finding the Fourth Proportional to 10,506.28, 14,499.32 and 5,790.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.28 : 14,499.32 = 5,790.55 : x
2. Step 2: Convert to fraction form
   10,506.28/14,499.32 = 5,790.55/x
3. Step 3: Cross multiply
   10,506.28x = 14,499.32 × 5,790.55
4. Step 4: Simplify right side
   10,506.28x = 83,959,037.43
5. Step 5: Solve for x
   x = 83,959,037.43/10,506.28
6. Step 6: Final answer
   x = 7,991.32