Finding the Fourth Proportional to 1,152.31, 1,727.94 and 632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.31 : 1,727.94 = 632.50 : x
2. Step 2: Convert to fraction form
   1,152.31/1,727.94 = 632.50/x
3. Step 3: Cross multiply
   1,152.31x = 1,727.94 × 632.50
4. Step 4: Simplify right side
   1,152.31x = 1,092,922.05
5. Step 5: Solve for x
   x = 1,092,922.05/1,152.31
6. Step 6: Final answer
   x = 948.46