Finding the Fourth Proportional to 10,506.48, 14,498.37 and 5,790.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.48 : 14,498.37 = 5,790.39 : x
2. Step 2: Convert to fraction form
   10,506.48/14,498.37 = 5,790.39/x
3. Step 3: Cross multiply
   10,506.48x = 14,498.37 × 5,790.39
4. Step 4: Simplify right side
   10,506.48x = 83,951,216.66
5. Step 5: Solve for x
   x = 83,951,216.66/10,506.48
6. Step 6: Final answer
   x = 7,990.42