Finding the Fourth Proportional to 1,648.78, 2,473.98 and 771.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.78 : 2,473.98 = 771.34 : x
2. Step 2: Convert to fraction form
   1,648.78/2,473.98 = 771.34/x
3. Step 3: Cross multiply
   1,648.78x = 2,473.98 × 771.34
4. Step 4: Simplify right side
   1,648.78x = 1,908,279.73
5. Step 5: Solve for x
   x = 1,908,279.73/1,648.78
6. Step 6: Final answer
   x = 1,157.39