Finding the Fourth Proportional to 1,648.06, 2,471.72 and 770.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.06 : 2,471.72 = 770.02 : x
2. Step 2: Convert to fraction form
   1,648.06/2,471.72 = 770.02/x
3. Step 3: Cross multiply
   1,648.06x = 2,471.72 × 770.02
4. Step 4: Simplify right side
   1,648.06x = 1,903,273.83
5. Step 5: Solve for x
   x = 1,903,273.83/1,648.06
6. Step 6: Final answer
   x = 1,154.86