Finding the Fourth Proportional to 1,200.64, 1,800.32 and 896

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.64 : 1,800.32 = 896 : x
2. Step 2: Convert to fraction form
   1,200.64/1,800.32 = 896/x
3. Step 3: Cross multiply
   1,200.64x = 1,800.32 × 896
4. Step 4: Simplify right side
   1,200.64x = 1,613,086.72
5. Step 5: Solve for x
   x = 1,613,086.72/1,200.64
6. Step 6: Final answer
   x = 1,343.52