Finding the Fourth Proportional to 2,546.78, 3,514.82 and 1,552.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.78 : 3,514.82 = 1,552.14 : x
2. Step 2: Convert to fraction form
   2,546.78/3,514.82 = 1,552.14/x
3. Step 3: Cross multiply
   2,546.78x = 3,514.82 × 1,552.14
4. Step 4: Simplify right side
   2,546.78x = 5,455,484.95
5. Step 5: Solve for x
   x = 5,455,484.95/2,546.78
6. Step 6: Final answer
   x = 2,142.12