Finding the Fourth Proportional to 1,585.89, 2,188.35 and 922.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.89 : 2,188.35 = 922.68 : x
2. Step 2: Convert to fraction form
   1,585.89/2,188.35 = 922.68/x
3. Step 3: Cross multiply
   1,585.89x = 2,188.35 × 922.68
4. Step 4: Simplify right side
   1,585.89x = 2,019,146.78
5. Step 5: Solve for x
   x = 2,019,146.78/1,585.89
6. Step 6: Final answer
   x = 1,273.19