Finding the Fourth Proportional to 1,264.52, 1,897.98 and 778.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.52 : 1,897.98 = 778.52 : x
2. Step 2: Convert to fraction form
   1,264.52/1,897.98 = 778.52/x
3. Step 3: Cross multiply
   1,264.52x = 1,897.98 × 778.52
4. Step 4: Simplify right side
   1,264.52x = 1,477,615.39
5. Step 5: Solve for x
   x = 1,477,615.39/1,264.52
6. Step 6: Final answer
   x = 1,168.52