Finding the Fourth Proportional to 1,780.39, 2,454.06 and 1,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.39 : 2,454.06 = 1,406.71 : x
2. Step 2: Convert to fraction form
   1,780.39/2,454.06 = 1,406.71/x
3. Step 3: Cross multiply
   1,780.39x = 2,454.06 × 1,406.71
4. Step 4: Simplify right side
   1,780.39x = 3,452,150.74
5. Step 5: Solve for x
   x = 3,452,150.74/1,780.39
6. Step 6: Final answer
   x = 1,938.99