Finding the Fourth Proportional to 1,586.62, 2,189.52 and 923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.62 : 2,189.52 = 923.50 : x
2. Step 2: Convert to fraction form
   1,586.62/2,189.52 = 923.50/x
3. Step 3: Cross multiply
   1,586.62x = 2,189.52 × 923.50
4. Step 4: Simplify right side
   1,586.62x = 2,022,021.72
5. Step 5: Solve for x
   x = 2,022,021.72/1,586.62
6. Step 6: Final answer
   x = 1,274.42