Finding the Fourth Proportional to 1,077.10, 1,616.56 and 712.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.10 : 1,616.56 = 712.14 : x
2. Step 2: Convert to fraction form
   1,077.10/1,616.56 = 712.14/x
3. Step 3: Cross multiply
   1,077.10x = 1,616.56 × 712.14
4. Step 4: Simplify right side
   1,077.10x = 1,151,218.29
5. Step 5: Solve for x
   x = 1,151,218.29/1,077.10
6. Step 6: Final answer
   x = 1,068.82