Finding the Fourth Proportional to 1,642.55, 2,464.43 and 776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.55 : 2,464.43 = 776.25 : x
2. Step 2: Convert to fraction form
   1,642.55/2,464.43 = 776.25/x
3. Step 3: Cross multiply
   1,642.55x = 2,464.43 × 776.25
4. Step 4: Simplify right side
   1,642.55x = 1,913,009.91
5. Step 5: Solve for x
   x = 1,913,009.91/1,642.55
6. Step 6: Final answer
   x = 1,164.66