Finding the Fourth Proportional to 10,138.40, 13,990.79 and 5,601.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.40 : 13,990.79 = 5,601.15 : x
2. Step 2: Convert to fraction form
   10,138.40/13,990.79 = 5,601.15/x
3. Step 3: Cross multiply
   10,138.40x = 13,990.79 × 5,601.15
4. Step 4: Simplify right side
   10,138.40x = 78,364,527.41
5. Step 5: Solve for x
   x = 78,364,527.41/10,138.40
6. Step 6: Final answer
   x = 7,729.48