Finding the Fourth Proportional to 2,298.60, 3,172.50 and 1,414.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.60 : 3,172.50 = 1,414.80 : x
2. Step 2: Convert to fraction form
   2,298.60/3,172.50 = 1,414.80/x
3. Step 3: Cross multiply
   2,298.60x = 3,172.50 × 1,414.80
4. Step 4: Simplify right side
   2,298.60x = 4,488,453
5. Step 5: Solve for x
   x = 4,488,453/2,298.60
6. Step 6: Final answer
   x = 1,952.69