Finding the Fourth Proportional to 2,640.64, 3,643.52 and 1,536

Step by Step Solution

1. Step 1: Write the proportion equation
   2,640.64 : 3,643.52 = 1,536 : x
2. Step 2: Convert to fraction form
   2,640.64/3,643.52 = 1,536/x
3. Step 3: Cross multiply
   2,640.64x = 3,643.52 × 1,536
4. Step 4: Simplify right side
   2,640.64x = 5,596,446.72
5. Step 5: Solve for x
   x = 5,596,446.72/2,640.64
6. Step 6: Final answer
   x = 2,119.35