Finding the Fourth Proportional to 1,189.15, 1,640.76 and 746.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.15 : 1,640.76 = 746.89 : x
2. Step 2: Convert to fraction form
   1,189.15/1,640.76 = 746.89/x
3. Step 3: Cross multiply
   1,189.15x = 1,640.76 × 746.89
4. Step 4: Simplify right side
   1,189.15x = 1,225,469.10
5. Step 5: Solve for x
   x = 1,225,469.10/1,189.15
6. Step 6: Final answer
   x = 1,030.54