Finding the Fourth Proportional to 1,152.94, 1,591.06 and 628.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.94 : 1,591.06 = 628.96 : x
2. Step 2: Convert to fraction form
   1,152.94/1,591.06 = 628.96/x
3. Step 3: Cross multiply
   1,152.94x = 1,591.06 × 628.96
4. Step 4: Simplify right side
   1,152.94x = 1,000,713.10
5. Step 5: Solve for x
   x = 1,000,713.10/1,152.94
6. Step 6: Final answer
   x = 867.97