Finding the Fourth Proportional to 1,408.53, 1,943.69 and 778.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.53 : 1,943.69 = 778.89 : x
2. Step 2: Convert to fraction form
   1,408.53/1,943.69 = 778.89/x
3. Step 3: Cross multiply
   1,408.53x = 1,943.69 × 778.89
4. Step 4: Simplify right side
   1,408.53x = 1,513,916.81
5. Step 5: Solve for x
   x = 1,513,916.81/1,408.53
6. Step 6: Final answer
   x = 1,074.82