Finding the Fourth Proportional to 1,648.14, 2,471.92 and 770.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.14 : 2,471.92 = 770.72 : x
2. Step 2: Convert to fraction form
   1,648.14/2,471.92 = 770.72/x
3. Step 3: Cross multiply
   1,648.14x = 2,471.92 × 770.72
4. Step 4: Simplify right side
   1,648.14x = 1,905,153.17
5. Step 5: Solve for x
   x = 1,905,153.17/1,648.14
6. Step 6: Final answer
   x = 1,155.94