Finding the Fourth Proportional to 10,138.08, 13,990.52 and 5,661.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.08 : 13,990.52 = 5,661.83 : x
2. Step 2: Convert to fraction form
   10,138.08/13,990.52 = 5,661.83/x
3. Step 3: Cross multiply
   10,138.08x = 13,990.52 × 5,661.83
4. Step 4: Simplify right side
   10,138.08x = 79,211,847.59
5. Step 5: Solve for x
   x = 79,211,847.59/10,138.08
6. Step 6: Final answer
   x = 7,813.30