Finding the Fourth Proportional to 10,505.74, 14,497.88 and 5,790.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.74 : 14,497.88 = 5,790.02 : x
2. Step 2: Convert to fraction form
   10,505.74/14,497.88 = 5,790.02/x
3. Step 3: Cross multiply
   10,505.74x = 14,497.88 × 5,790.02
4. Step 4: Simplify right side
   10,505.74x = 83,943,015.16
5. Step 5: Solve for x
   x = 83,943,015.16/10,505.74
6. Step 6: Final answer
   x = 7,990.20