Finding the Fourth Proportional to 1,147.78, 1,720.70 and 498.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.78 : 1,720.70 = 498.02 : x
2. Step 2: Convert to fraction form
   1,147.78/1,720.70 = 498.02/x
3. Step 3: Cross multiply
   1,147.78x = 1,720.70 × 498.02
4. Step 4: Simplify right side
   1,147.78x = 856,940.52
5. Step 5: Solve for x
   x = 856,940.52/1,147.78
6. Step 6: Final answer
   x = 746.61