Finding the Fourth Proportional to 1,642.72, 2,464.60 and 776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.72 : 2,464.60 = 776.56 : x
2. Step 2: Convert to fraction form
   1,642.72/2,464.60 = 776.56/x
3. Step 3: Cross multiply
   1,642.72x = 2,464.60 × 776.56
4. Step 4: Simplify right side
   1,642.72x = 1,913,909.78
5. Step 5: Solve for x
   x = 1,913,909.78/1,642.72
6. Step 6: Final answer
   x = 1,165.09