Finding the Fourth Proportional to 1,076.20, 1,613.76 and 498.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.20 : 1,613.76 = 498.76 : x
2. Step 2: Convert to fraction form
   1,076.20/1,613.76 = 498.76/x
3. Step 3: Cross multiply
   1,076.20x = 1,613.76 × 498.76
4. Step 4: Simplify right side
   1,076.20x = 804,878.94
5. Step 5: Solve for x
   x = 804,878.94/1,076.20
6. Step 6: Final answer
   x = 747.89