Finding the Fourth Proportional to 1,055.72, 1,456.62 and 613.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.72 : 1,456.62 = 613.82 : x
2. Step 2: Convert to fraction form
   1,055.72/1,456.62 = 613.82/x
3. Step 3: Cross multiply
   1,055.72x = 1,456.62 × 613.82
4. Step 4: Simplify right side
   1,055.72x = 894,102.49
5. Step 5: Solve for x
   x = 894,102.49/1,055.72
6. Step 6: Final answer
   x = 846.91