Finding the Fourth Proportional to 1,189.50, 1,641.59 and 747.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.50 : 1,641.59 = 747.72 : x
2. Step 2: Convert to fraction form
   1,189.50/1,641.59 = 747.72/x
3. Step 3: Cross multiply
   1,189.50x = 1,641.59 × 747.72
4. Step 4: Simplify right side
   1,189.50x = 1,227,445.94
5. Step 5: Solve for x
   x = 1,227,445.94/1,189.50
6. Step 6: Final answer
   x = 1,031.90