Finding the Fourth Proportional to 1,648.49, 2,471.37 and 770.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.49 : 2,471.37 = 770.55 : x
2. Step 2: Convert to fraction form
   1,648.49/2,471.37 = 770.55/x
3. Step 3: Cross multiply
   1,648.49x = 2,471.37 × 770.55
4. Step 4: Simplify right side
   1,648.49x = 1,904,302.00
5. Step 5: Solve for x
   x = 1,904,302.00/1,648.49
6. Step 6: Final answer
   x = 1,155.18