Finding the Fourth Proportional to 1,147.69, 1,720.52 and 498.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.69 : 1,720.52 = 498.07 : x
2. Step 2: Convert to fraction form
   1,147.69/1,720.52 = 498.07/x
3. Step 3: Cross multiply
   1,147.69x = 1,720.52 × 498.07
4. Step 4: Simplify right side
   1,147.69x = 856,939.40
5. Step 5: Solve for x
   x = 856,939.40/1,147.69
6. Step 6: Final answer
   x = 746.66