Finding the Fourth Proportional to 9,426.64, 13,007.62 and 5,597.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,426.64 : 13,007.62 = 5,597.68 : x
2. Step 2: Convert to fraction form
   9,426.64/13,007.62 = 5,597.68/x
3. Step 3: Cross multiply
   9,426.64x = 13,007.62 × 5,597.68
4. Step 4: Simplify right side
   9,426.64x = 72,812,494.32
5. Step 5: Solve for x
   x = 72,812,494.32/9,426.64
6. Step 6: Final answer
   x = 7,724.12