Finding the Fourth Proportional to 10,506.67, 14,498.67 and 5,790.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.67 : 14,498.67 = 5,790.04 : x
2. Step 2: Convert to fraction form
   10,506.67/14,498.67 = 5,790.04/x
3. Step 3: Cross multiply
   10,506.67x = 14,498.67 × 5,790.04
4. Step 4: Simplify right side
   10,506.67x = 83,947,879.25
5. Step 5: Solve for x
   x = 83,947,879.25/10,506.67
6. Step 6: Final answer
   x = 7,989.96