Finding the Fourth Proportional to 1,006.17, 1,388.59 and 613.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.17 : 1,388.59 = 613.27 : x
2. Step 2: Convert to fraction form
   1,006.17/1,388.59 = 613.27/x
3. Step 3: Cross multiply
   1,006.17x = 1,388.59 × 613.27
4. Step 4: Simplify right side
   1,006.17x = 851,584.24
5. Step 5: Solve for x
   x = 851,584.24/1,006.17
6. Step 6: Final answer
   x = 846.36