Finding the Fourth Proportional to 1,189.47, 1,641.56 and 747.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.47 : 1,641.56 = 747.82 : x
2. Step 2: Convert to fraction form
   1,189.47/1,641.56 = 747.82/x
3. Step 3: Cross multiply
   1,189.47x = 1,641.56 × 747.82
4. Step 4: Simplify right side
   1,189.47x = 1,227,589.16
5. Step 5: Solve for x
   x = 1,227,589.16/1,189.47
6. Step 6: Final answer
   x = 1,032.05