Finding the Fourth Proportional to 1,585.47, 2,187.05 and 922.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.47 : 2,187.05 = 922.25 : x
2. Step 2: Convert to fraction form
   1,585.47/2,187.05 = 922.25/x
3. Step 3: Cross multiply
   1,585.47x = 2,187.05 × 922.25
4. Step 4: Simplify right side
   1,585.47x = 2,016,991.32
5. Step 5: Solve for x
   x = 2,016,991.32/1,585.47
6. Step 6: Final answer
   x = 1,272.17