Finding the Fourth Proportional to 10,505.75, 14,498.24 and 5,790.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.75 : 14,498.24 = 5,790.34 : x
2. Step 2: Convert to fraction form
   10,505.75/14,498.24 = 5,790.34/x
3. Step 3: Cross multiply
   10,505.75x = 14,498.24 × 5,790.34
4. Step 4: Simplify right side
   10,505.75x = 83,949,739.00
5. Step 5: Solve for x
   x = 83,949,739.00/10,505.75
6. Step 6: Final answer
   x = 7,990.84