Finding the Fourth Proportional to 10,074.20, 13,901.60 and 5,597.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.20 : 13,901.60 = 5,597.88 : x
2. Step 2: Convert to fraction form
   10,074.20/13,901.60 = 5,597.88/x
3. Step 3: Cross multiply
   10,074.20x = 13,901.60 × 5,597.88
4. Step 4: Simplify right side
   10,074.20x = 77,819,488.61
5. Step 5: Solve for x
   x = 77,819,488.61/10,074.20
6. Step 6: Final answer
   x = 7,724.63