Finding the Fourth Proportional to 1,155.57, 1,594.71 and 631.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.57 : 1,594.71 = 631.64 : x
2. Step 2: Convert to fraction form
   1,155.57/1,594.71 = 631.64/x
3. Step 3: Cross multiply
   1,155.57x = 1,594.71 × 631.64
4. Step 4: Simplify right side
   1,155.57x = 1,007,274.65
5. Step 5: Solve for x
   x = 1,007,274.65/1,155.57
6. Step 6: Final answer
   x = 871.67