Finding the Fourth Proportional to 1,192.72, 1,788.20 and 498.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.72 : 1,788.20 = 498.40 : x
2. Step 2: Convert to fraction form
   1,192.72/1,788.20 = 498.40/x
3. Step 3: Cross multiply
   1,192.72x = 1,788.20 × 498.40
4. Step 4: Simplify right side
   1,192.72x = 891,238.88
5. Step 5: Solve for x
   x = 891,238.88/1,192.72
6. Step 6: Final answer
   x = 747.23