Finding the Fourth Proportional to 10,138.43, 13,990.89 and 5,662.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.43 : 13,990.89 = 5,662.14 : x
2. Step 2: Convert to fraction form
   10,138.43/13,990.89 = 5,662.14/x
3. Step 3: Cross multiply
   10,138.43x = 13,990.89 × 5,662.14
4. Step 4: Simplify right side
   10,138.43x = 79,218,279.64
5. Step 5: Solve for x
   x = 79,218,279.64/10,138.43
6. Step 6: Final answer
   x = 7,813.66