Finding the Fourth Proportional to 2,552.76, 3,825.82 and 1,146.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.76 : 3,825.82 = 1,146.14 : x
2. Step 2: Convert to fraction form
   2,552.76/3,825.82 = 1,146.14/x
3. Step 3: Cross multiply
   2,552.76x = 3,825.82 × 1,146.14
4. Step 4: Simplify right side
   2,552.76x = 4,384,925.33
5. Step 5: Solve for x
   x = 4,384,925.33/2,552.76
6. Step 6: Final answer
   x = 1,717.72