Finding the Fourth Proportional to 10,505.91, 14,498.46 and 5,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.91 : 14,498.46 = 5,790.50 : x
2. Step 2: Convert to fraction form
   10,505.91/14,498.46 = 5,790.50/x
3. Step 3: Cross multiply
   10,505.91x = 14,498.46 × 5,790.50
4. Step 4: Simplify right side
   10,505.91x = 83,953,260.14
5. Step 5: Solve for x
   x = 83,953,260.14/10,505.91
6. Step 6: Final answer
   x = 7,991.05