Finding the Fourth Proportional to 10,505.81, 14,498.12 and 5,790.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.81 : 14,498.12 = 5,790.26 : x
2. Step 2: Convert to fraction form
   10,505.81/14,498.12 = 5,790.26/x
3. Step 3: Cross multiply
   10,505.81x = 14,498.12 × 5,790.26
4. Step 4: Simplify right side
   10,505.81x = 83,947,855.36
5. Step 5: Solve for x
   x = 83,947,855.36/10,505.81
6. Step 6: Final answer
   x = 7,990.61