Finding the Fourth Proportional to 1,005.68, 1,387.98 and 586.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.68 : 1,387.98 = 586.17 : x
2. Step 2: Convert to fraction form
   1,005.68/1,387.98 = 586.17/x
3. Step 3: Cross multiply
   1,005.68x = 1,387.98 × 586.17
4. Step 4: Simplify right side
   1,005.68x = 813,582.37
5. Step 5: Solve for x
   x = 813,582.37/1,005.68
6. Step 6: Final answer
   x = 808.99