Finding the Fourth Proportional to 2,552.82, 3,825.50 and 1,381.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.82 : 3,825.50 = 1,381.88 : x
2. Step 2: Convert to fraction form
   2,552.82/3,825.50 = 1,381.88/x
3. Step 3: Cross multiply
   2,552.82x = 3,825.50 × 1,381.88
4. Step 4: Simplify right side
   2,552.82x = 5,286,381.94
5. Step 5: Solve for x
   x = 5,286,381.94/2,552.82
6. Step 6: Final answer
   x = 2,070.80