Finding the Fourth Proportional to 1,465.83, 2,196.70 and 643.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.83 : 2,196.70 = 643.89 : x
2. Step 2: Convert to fraction form
   1,465.83/2,196.70 = 643.89/x
3. Step 3: Cross multiply
   1,465.83x = 2,196.70 × 643.89
4. Step 4: Simplify right side
   1,465.83x = 1,414,433.16
5. Step 5: Solve for x
   x = 1,414,433.16/1,465.83
6. Step 6: Final answer
   x = 964.94