Finding the Fourth Proportional to 1,408.13, 1,943.37 and 778.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.13 : 1,943.37 = 778.71 : x
2. Step 2: Convert to fraction form
   1,408.13/1,943.37 = 778.71/x
3. Step 3: Cross multiply
   1,408.13x = 1,943.37 × 778.71
4. Step 4: Simplify right side
   1,408.13x = 1,513,314.72
5. Step 5: Solve for x
   x = 1,513,314.72/1,408.13
6. Step 6: Final answer
   x = 1,074.70