Finding the Fourth Proportional to 1,152.82, 1,590.93 and 628.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.82 : 1,590.93 = 628.90 : x
2. Step 2: Convert to fraction form
   1,152.82/1,590.93 = 628.90/x
3. Step 3: Cross multiply
   1,152.82x = 1,590.93 × 628.90
4. Step 4: Simplify right side
   1,152.82x = 1,000,535.88
5. Step 5: Solve for x
   x = 1,000,535.88/1,152.82
6. Step 6: Final answer
   x = 867.90