Finding the Fourth Proportional to 1,006.17, 1,387.89 and 656.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.17 : 1,387.89 = 656.85 : x
2. Step 2: Convert to fraction form
   1,006.17/1,387.89 = 656.85/x
3. Step 3: Cross multiply
   1,006.17x = 1,387.89 × 656.85
4. Step 4: Simplify right side
   1,006.17x = 911,635.55
5. Step 5: Solve for x
   x = 911,635.55/1,006.17
6. Step 6: Final answer
   x = 906.05