Finding the Fourth Proportional to 10,506.53, 14,498.35 and 5,790.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.53 : 14,498.35 = 5,790.83 : x
2. Step 2: Convert to fraction form
   10,506.53/14,498.35 = 5,790.83/x
3. Step 3: Cross multiply
   10,506.53x = 14,498.35 × 5,790.83
4. Step 4: Simplify right side
   10,506.53x = 83,957,393.16
5. Step 5: Solve for x
   x = 83,957,393.16/10,506.53
6. Step 6: Final answer
   x = 7,990.97