Finding the Fourth Proportional to 1,408.02, 1,943.24 and 778.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.02 : 1,943.24 = 778.74 : x
2. Step 2: Convert to fraction form
   1,408.02/1,943.24 = 778.74/x
3. Step 3: Cross multiply
   1,408.02x = 1,943.24 × 778.74
4. Step 4: Simplify right side
   1,408.02x = 1,513,274.82
5. Step 5: Solve for x
   x = 1,513,274.82/1,408.02
6. Step 6: Final answer
   x = 1,074.75