Finding the Fourth Proportional to 1,685.48, 2,327.04 and 1,155.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.48 : 2,327.04 = 1,155.24 : x
2. Step 2: Convert to fraction form
   1,685.48/2,327.04 = 1,155.24/x
3. Step 3: Cross multiply
   1,685.48x = 2,327.04 × 1,155.24
4. Step 4: Simplify right side
   1,685.48x = 2,688,289.69
5. Step 5: Solve for x
   x = 2,688,289.69/1,685.48
6. Step 6: Final answer
   x = 1,594.97