Finding the Fourth Proportional to 2,298.78, 3,172.35 and 1,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.78 : 3,172.35 = 1,414.06 : x
2. Step 2: Convert to fraction form
   2,298.78/3,172.35 = 1,414.06/x
3. Step 3: Cross multiply
   2,298.78x = 3,172.35 × 1,414.06
4. Step 4: Simplify right side
   2,298.78x = 4,485,893.24
5. Step 5: Solve for x
   x = 4,485,893.24/2,298.78
6. Step 6: Final answer
   x = 1,951.42