Finding the Fourth Proportional to 10,506.57, 14,498.97 and 5,790.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.57 : 14,498.97 = 5,790.75 : x
2. Step 2: Convert to fraction form
   10,506.57/14,498.97 = 5,790.75/x
3. Step 3: Cross multiply
   10,506.57x = 14,498.97 × 5,790.75
4. Step 4: Simplify right side
   10,506.57x = 83,959,910.53
5. Step 5: Solve for x
   x = 83,959,910.53/10,506.57
6. Step 6: Final answer
   x = 7,991.18