Finding the Fourth Proportional to 1,407.99, 1,943.02 and 778.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.99 : 1,943.02 = 778.49 : x
2. Step 2: Convert to fraction form
   1,407.99/1,943.02 = 778.49/x
3. Step 3: Cross multiply
   1,407.99x = 1,943.02 × 778.49
4. Step 4: Simplify right side
   1,407.99x = 1,512,621.64
5. Step 5: Solve for x
   x = 1,512,621.64/1,407.99
6. Step 6: Final answer
   x = 1,074.31