Finding the Fourth Proportional to 10,506.43, 14,498.80 and 5,790.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.43 : 14,498.80 = 5,790.75 : x
2. Step 2: Convert to fraction form
   10,506.43/14,498.80 = 5,790.75/x
3. Step 3: Cross multiply
   10,506.43x = 14,498.80 × 5,790.75
4. Step 4: Simplify right side
   10,506.43x = 83,958,926.10
5. Step 5: Solve for x
   x = 83,958,926.10/10,506.43
6. Step 6: Final answer
   x = 7,991.19