Finding the Fourth Proportional to 1,152.66, 1,590.72 and 628.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.66 : 1,590.72 = 628.74 : x
2. Step 2: Convert to fraction form
   1,152.66/1,590.72 = 628.74/x
3. Step 3: Cross multiply
   1,152.66x = 1,590.72 × 628.74
4. Step 4: Simplify right side
   1,152.66x = 1,000,149.29
5. Step 5: Solve for x
   x = 1,000,149.29/1,152.66
6. Step 6: Final answer
   x = 867.69