Finding the Fourth Proportional to 1,152.56, 1,590.54 and 628.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,590.54 = 628.59 : x
2. Step 2: Convert to fraction form
   1,152.56/1,590.54 = 628.59/x
3. Step 3: Cross multiply
   1,152.56x = 1,590.54 × 628.59
4. Step 4: Simplify right side
   1,152.56x = 999,801.15
5. Step 5: Solve for x
   x = 999,801.15/1,152.56
6. Step 6: Final answer
   x = 867.46