Finding the Fourth Proportional to 1,302.72, 1,796.76 and 778.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.72 : 1,796.76 = 778.08 : x
2. Step 2: Convert to fraction form
   1,302.72/1,796.76 = 778.08/x
3. Step 3: Cross multiply
   1,302.72x = 1,796.76 × 778.08
4. Step 4: Simplify right side
   1,302.72x = 1,398,023.02
5. Step 5: Solve for x
   x = 1,398,023.02/1,302.72
6. Step 6: Final answer
   x = 1,073.16