Finding the Fourth Proportional to 2,414.78, 3,620.40 and 770.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.78 : 3,620.40 = 770.38 : x
2. Step 2: Convert to fraction form
   2,414.78/3,620.40 = 770.38/x
3. Step 3: Cross multiply
   2,414.78x = 3,620.40 × 770.38
4. Step 4: Simplify right side
   2,414.78x = 2,789,071.81
5. Step 5: Solve for x
   x = 2,789,071.81/2,414.78
6. Step 6: Final answer
   x = 1,155.00