Finding the Fourth Proportional to 10,506.11, 14,498.73 and 5,790.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.11 : 14,498.73 = 5,790.69 : x
2. Step 2: Convert to fraction form
   10,506.11/14,498.73 = 5,790.69/x
3. Step 3: Cross multiply
   10,506.11x = 14,498.73 × 5,790.69
4. Step 4: Simplify right side
   10,506.11x = 83,957,650.82
5. Step 5: Solve for x
   x = 83,957,650.82/10,506.11
6. Step 6: Final answer
   x = 7,991.32