Finding the Fourth Proportional to 1,077.52, 1,616.69 and 734.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.52 : 1,616.69 = 734.09 : x
2. Step 2: Convert to fraction form
   1,077.52/1,616.69 = 734.09/x
3. Step 3: Cross multiply
   1,077.52x = 1,616.69 × 734.09
4. Step 4: Simplify right side
   1,077.52x = 1,186,792.29
5. Step 5: Solve for x
   x = 1,186,792.29/1,077.52
6. Step 6: Final answer
   x = 1,101.42