Finding the Fourth Proportional to 1,192.56, 1,787.73 and 498.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.56 : 1,787.73 = 498.80 : x
2. Step 2: Convert to fraction form
   1,192.56/1,787.73 = 498.80/x
3. Step 3: Cross multiply
   1,192.56x = 1,787.73 × 498.80
4. Step 4: Simplify right side
   1,192.56x = 891,719.72
5. Step 5: Solve for x
   x = 891,719.72/1,192.56
6. Step 6: Final answer
   x = 747.74