Finding the Fourth Proportional to 9,620.32, 13,275.78 and 5,643.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,620.32 : 13,275.78 = 5,643.40 : x
2. Step 2: Convert to fraction form
   9,620.32/13,275.78 = 5,643.40/x
3. Step 3: Cross multiply
   9,620.32x = 13,275.78 × 5,643.40
4. Step 4: Simplify right side
   9,620.32x = 74,920,536.85
5. Step 5: Solve for x
   x = 74,920,536.85/9,620.32
6. Step 6: Final answer
   x = 7,787.74