Finding the Fourth Proportional to 10,138.54, 13,990.37 and 5,662.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.54 : 13,990.37 = 5,662.02 : x
2. Step 2: Convert to fraction form
   10,138.54/13,990.37 = 5,662.02/x
3. Step 3: Cross multiply
   10,138.54x = 13,990.37 × 5,662.02
4. Step 4: Simplify right side
   10,138.54x = 79,213,754.75
5. Step 5: Solve for x
   x = 79,213,754.75/10,138.54
6. Step 6: Final answer
   x = 7,813.13