Finding the Fourth Proportional to 1,152.83, 1,590.90 and 628.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.83 : 1,590.90 = 628.86 : x
2. Step 2: Convert to fraction form
   1,152.83/1,590.90 = 628.86/x
3. Step 3: Cross multiply
   1,152.83x = 1,590.90 × 628.86
4. Step 4: Simplify right side
   1,152.83x = 1,000,449.35
5. Step 5: Solve for x
   x = 1,000,449.35/1,152.83
6. Step 6: Final answer
   x = 867.82