Finding the Fourth Proportional to 1,585.37, 2,188.32 and 922.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.37 : 2,188.32 = 922.10 : x
2. Step 2: Convert to fraction form
   1,585.37/2,188.32 = 922.10/x
3. Step 3: Cross multiply
   1,585.37x = 2,188.32 × 922.10
4. Step 4: Simplify right side
   1,585.37x = 2,017,849.87
5. Step 5: Solve for x
   x = 2,017,849.87/1,585.37
6. Step 6: Final answer
   x = 1,272.79