Finding the Fourth Proportional to 1,191.33, 1,785.76 and 498.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.33 : 1,785.76 = 498.40 : x
2. Step 2: Convert to fraction form
   1,191.33/1,785.76 = 498.40/x
3. Step 3: Cross multiply
   1,191.33x = 1,785.76 × 498.40
4. Step 4: Simplify right side
   1,191.33x = 890,022.78
5. Step 5: Solve for x
   x = 890,022.78/1,191.33
6. Step 6: Final answer
   x = 747.08