Finding the Fourth Proportional to 2,552.64, 3,832.56 and 1,320.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.64 : 3,832.56 = 1,320.96 : x
2. Step 2: Convert to fraction form
   2,552.64/3,832.56 = 1,320.96/x
3. Step 3: Cross multiply
   2,552.64x = 3,832.56 × 1,320.96
4. Step 4: Simplify right side
   2,552.64x = 5,062,658.46
5. Step 5: Solve for x
   x = 5,062,658.46/2,552.64
6. Step 6: Final answer
   x = 1,983.30