Finding the Fourth Proportional to 1,433.64, 1,978.62 and 874.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.64 : 1,978.62 = 874.32 : x
2. Step 2: Convert to fraction form
   1,433.64/1,978.62 = 874.32/x
3. Step 3: Cross multiply
   1,433.64x = 1,978.62 × 874.32
4. Step 4: Simplify right side
   1,433.64x = 1,729,947.04
5. Step 5: Solve for x
   x = 1,729,947.04/1,433.64
6. Step 6: Final answer
   x = 1,206.68