Finding the Fourth Proportional to 1,200.32, 1,655.76 and 734.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.32 : 1,655.76 = 734.24 : x
2. Step 2: Convert to fraction form
   1,200.32/1,655.76 = 734.24/x
3. Step 3: Cross multiply
   1,200.32x = 1,655.76 × 734.24
4. Step 4: Simplify right side
   1,200.32x = 1,215,725.22
5. Step 5: Solve for x
   x = 1,215,725.22/1,200.32
6. Step 6: Final answer
   x = 1,012.83