Finding the Fourth Proportional to 1,585.94, 2,188.80 and 922.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.94 : 2,188.80 = 922.82 : x
2. Step 2: Convert to fraction form
   1,585.94/2,188.80 = 922.82/x
3. Step 3: Cross multiply
   1,585.94x = 2,188.80 × 922.82
4. Step 4: Simplify right side
   1,585.94x = 2,019,857.47
5. Step 5: Solve for x
   x = 2,019,857.47/1,585.94
6. Step 6: Final answer
   x = 1,273.61