Finding the Fourth Proportional to 2,420.71, 3,629.63 and 776.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,420.71 : 3,629.63 = 776.41 : x
2. Step 2: Convert to fraction form
   2,420.71/3,629.63 = 776.41/x
3. Step 3: Cross multiply
   2,420.71x = 3,629.63 × 776.41
4. Step 4: Simplify right side
   2,420.71x = 2,818,081.03
5. Step 5: Solve for x
   x = 2,818,081.03/2,420.71
6. Step 6: Final answer
   x = 1,164.15