Finding the Fourth Proportional to 1,091.98, 1,637.76 and 498.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.98 : 1,637.76 = 498.85 : x
2. Step 2: Convert to fraction form
   1,091.98/1,637.76 = 498.85/x
3. Step 3: Cross multiply
   1,091.98x = 1,637.76 × 498.85
4. Step 4: Simplify right side
   1,091.98x = 817,002.06
5. Step 5: Solve for x
   x = 817,002.06/1,091.98
6. Step 6: Final answer
   x = 748.18