Finding the Fourth Proportional to 1,642.38, 2,464.41 and 776.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.38 : 2,464.41 = 776.46 : x
2. Step 2: Convert to fraction form
   1,642.38/2,464.41 = 776.46/x
3. Step 3: Cross multiply
   1,642.38x = 2,464.41 × 776.46
4. Step 4: Simplify right side
   1,642.38x = 1,913,515.79
5. Step 5: Solve for x
   x = 1,913,515.79/1,642.38
6. Step 6: Final answer
   x = 1,165.09