Finding the Fourth Proportional to 1,464.72, 2,196.52 and 642.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.72 : 2,196.52 = 642.56 : x
2. Step 2: Convert to fraction form
   1,464.72/2,196.52 = 642.56/x
3. Step 3: Cross multiply
   1,464.72x = 2,196.52 × 642.56
4. Step 4: Simplify right side
   1,464.72x = 1,411,395.89
5. Step 5: Solve for x
   x = 1,411,395.89/1,464.72
6. Step 6: Final answer
   x = 963.59