Finding the Fourth Proportional to 1,302.52, 1,797.69 and 778.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.52 : 1,797.69 = 778.86 : x
2. Step 2: Convert to fraction form
   1,302.52/1,797.69 = 778.86/x
3. Step 3: Cross multiply
   1,302.52x = 1,797.69 × 778.86
4. Step 4: Simplify right side
   1,302.52x = 1,400,148.83
5. Step 5: Solve for x
   x = 1,400,148.83/1,302.52
6. Step 6: Final answer
   x = 1,074.95