Finding the Fourth Proportional to 1,414.76, 1,953.34 and 1,082.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.76 : 1,953.34 = 1,082.61 : x
2. Step 2: Convert to fraction form
   1,414.76/1,953.34 = 1,082.61/x
3. Step 3: Cross multiply
   1,414.76x = 1,953.34 × 1,082.61
4. Step 4: Simplify right side
   1,414.76x = 2,114,705.42
5. Step 5: Solve for x
   x = 2,114,705.42/1,414.76
6. Step 6: Final answer
   x = 1,494.74