Finding the Fourth Proportional to 10,506.12, 14,498.04 and 5,790.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.12 : 14,498.04 = 5,790.40 : x
2. Step 2: Convert to fraction form
   10,506.12/14,498.04 = 5,790.40/x
3. Step 3: Cross multiply
   10,506.12x = 14,498.04 × 5,790.40
4. Step 4: Simplify right side
   10,506.12x = 83,949,450.82
5. Step 5: Solve for x
   x = 83,949,450.82/10,506.12
6. Step 6: Final answer
   x = 7,990.53