Finding the Fourth Proportional to 10,506.61, 14,498.43 and 5,790.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.61 : 14,498.43 = 5,790.88 : x
2. Step 2: Convert to fraction form
   10,506.61/14,498.43 = 5,790.88/x
3. Step 3: Cross multiply
   10,506.61x = 14,498.43 × 5,790.88
4. Step 4: Simplify right side
   10,506.61x = 83,958,668.32
5. Step 5: Solve for x
   x = 83,958,668.32/10,506.61
6. Step 6: Final answer
   x = 7,991.03