Finding the Fourth Proportional to 1,152.66, 1,590.71 and 628.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.66 : 1,590.71 = 628.73 : x
2. Step 2: Convert to fraction form
   1,152.66/1,590.71 = 628.73/x
3. Step 3: Cross multiply
   1,152.66x = 1,590.71 × 628.73
4. Step 4: Simplify right side
   1,152.66x = 1,000,116.00
5. Step 5: Solve for x
   x = 1,000,116.00/1,152.66
6. Step 6: Final answer
   x = 867.66