Finding the Fourth Proportional to 1,189.89, 1,640.88 and 747.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.89 : 1,640.88 = 747.81 : x
2. Step 2: Convert to fraction form
   1,189.89/1,640.88 = 747.81/x
3. Step 3: Cross multiply
   1,189.89x = 1,640.88 × 747.81
4. Step 4: Simplify right side
   1,189.89x = 1,227,066.47
5. Step 5: Solve for x
   x = 1,227,066.47/1,189.89
6. Step 6: Final answer
   x = 1,031.24