Finding the Fourth Proportional to 1,586.27, 2,188.52 and 922.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.27 : 2,188.52 = 922.58 : x
2. Step 2: Convert to fraction form
   1,586.27/2,188.52 = 922.58/x
3. Step 3: Cross multiply
   1,586.27x = 2,188.52 × 922.58
4. Step 4: Simplify right side
   1,586.27x = 2,019,084.78
5. Step 5: Solve for x
   x = 2,019,084.78/1,586.27
6. Step 6: Final answer
   x = 1,272.85