Finding the Fourth Proportional to 1,191.81, 1,644.86 and 749.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.81 : 1,644.86 = 749.74 : x
2. Step 2: Convert to fraction form
   1,191.81/1,644.86 = 749.74/x
3. Step 3: Cross multiply
   1,191.81x = 1,644.86 × 749.74
4. Step 4: Simplify right side
   1,191.81x = 1,233,217.34
5. Step 5: Solve for x
   x = 1,233,217.34/1,191.81
6. Step 6: Final answer
   x = 1,034.74