Finding the Fourth Proportional to 1,191.82, 1,788.87 and 498.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.82 : 1,788.87 = 498.30 : x
2. Step 2: Convert to fraction form
   1,191.82/1,788.87 = 498.30/x
3. Step 3: Cross multiply
   1,191.82x = 1,788.87 × 498.30
4. Step 4: Simplify right side
   1,191.82x = 891,393.92
5. Step 5: Solve for x
   x = 891,393.92/1,191.82
6. Step 6: Final answer
   x = 747.93