Finding the Fourth Proportional to 1,580.83, 2,182.16 and 1,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.83 : 2,182.16 = 1,414.75 : x
2. Step 2: Convert to fraction form
   1,580.83/2,182.16 = 1,414.75/x
3. Step 3: Cross multiply
   1,580.83x = 2,182.16 × 1,414.75
4. Step 4: Simplify right side
   1,580.83x = 3,087,217.27
5. Step 5: Solve for x
   x = 3,087,217.27/1,580.83
6. Step 6: Final answer
   x = 1,952.91