Finding the Fourth Proportional to 2,419.90, 3,630.45 and 776.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.90 : 3,630.45 = 776.61 : x
2. Step 2: Convert to fraction form
   2,419.90/3,630.45 = 776.61/x
3. Step 3: Cross multiply
   2,419.90x = 3,630.45 × 776.61
4. Step 4: Simplify right side
   2,419.90x = 2,819,446.69
5. Step 5: Solve for x
   x = 2,819,446.69/2,419.90
6. Step 6: Final answer
   x = 1,165.11