Finding the Fourth Proportional to 1,012.16, 1,519.20 and 734.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.16 : 1,519.20 = 734.72 : x
2. Step 2: Convert to fraction form
   1,012.16/1,519.20 = 734.72/x
3. Step 3: Cross multiply
   1,012.16x = 1,519.20 × 734.72
4. Step 4: Simplify right side
   1,012.16x = 1,116,186.62
5. Step 5: Solve for x
   x = 1,116,186.62/1,012.16
6. Step 6: Final answer
   x = 1,102.78