Finding the Fourth Proportional to 10,505.86, 14,498.06 and 5,790.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.86 : 14,498.06 = 5,790.14 : x
2. Step 2: Convert to fraction form
   10,505.86/14,498.06 = 5,790.14/x
3. Step 3: Cross multiply
   10,505.86x = 14,498.06 × 5,790.14
4. Step 4: Simplify right side
   10,505.86x = 83,945,782.65
5. Step 5: Solve for x
   x = 83,945,782.65/10,505.86
6. Step 6: Final answer
   x = 7,990.38