Finding the Fourth Proportional to 10,074.19, 13,901.61 and 5,597.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.19 : 13,901.61 = 5,597.86 : x
2. Step 2: Convert to fraction form
   10,074.19/13,901.61 = 5,597.86/x
3. Step 3: Cross multiply
   10,074.19x = 13,901.61 × 5,597.86
4. Step 4: Simplify right side
   10,074.19x = 77,819,266.55
5. Step 5: Solve for x
   x = 77,819,266.55/10,074.19
6. Step 6: Final answer
   x = 7,724.62