Finding the Fourth Proportional to 1,414.50, 1,952.04 and 1,059.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.50 : 1,952.04 = 1,059.78 : x
2. Step 2: Convert to fraction form
   1,414.50/1,952.04 = 1,059.78/x
3. Step 3: Cross multiply
   1,414.50x = 1,952.04 × 1,059.78
4. Step 4: Simplify right side
   1,414.50x = 2,068,732.95
5. Step 5: Solve for x
   x = 2,068,732.95/1,414.50
6. Step 6: Final answer
   x = 1,462.52