Finding the Fourth Proportional to 1,642.42, 2,464.02 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.42 : 2,464.02 = 776.50 : x
2. Step 2: Convert to fraction form
   1,642.42/2,464.02 = 776.50/x
3. Step 3: Cross multiply
   1,642.42x = 2,464.02 × 776.50
4. Step 4: Simplify right side
   1,642.42x = 1,913,311.53
5. Step 5: Solve for x
   x = 1,913,311.53/1,642.42
6. Step 6: Final answer
   x = 1,164.93