Finding the Fourth Proportional to 1,648.61, 2,470.63 and 770.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.61 : 2,470.63 = 770.17 : x
2. Step 2: Convert to fraction form
   1,648.61/2,470.63 = 770.17/x
3. Step 3: Cross multiply
   1,648.61x = 2,470.63 × 770.17
4. Step 4: Simplify right side
   1,648.61x = 1,902,797.01
5. Step 5: Solve for x
   x = 1,902,797.01/1,648.61
6. Step 6: Final answer
   x = 1,154.18