Finding the Fourth Proportional to 1,076.06, 1,613.64 and 498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.06 : 1,613.64 = 498.50 : x
2. Step 2: Convert to fraction form
   1,076.06/1,613.64 = 498.50/x
3. Step 3: Cross multiply
   1,076.06x = 1,613.64 × 498.50
4. Step 4: Simplify right side
   1,076.06x = 804,399.54
5. Step 5: Solve for x
   x = 804,399.54/1,076.06
6. Step 6: Final answer
   x = 747.54