Finding the Fourth Proportional to 1,383.92, 2,076.50 and 734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.92 : 2,076.50 = 734.50 : x
2. Step 2: Convert to fraction form
   1,383.92/2,076.50 = 734.50/x
3. Step 3: Cross multiply
   1,383.92x = 2,076.50 × 734.50
4. Step 4: Simplify right side
   1,383.92x = 1,525,189.25
5. Step 5: Solve for x
   x = 1,525,189.25/1,383.92
6. Step 6: Final answer
   x = 1,102.08