Finding the Fourth Proportional to 1,191.96, 1,788.29 and 498.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.96 : 1,788.29 = 498.27 : x
2. Step 2: Convert to fraction form
   1,191.96/1,788.29 = 498.27/x
3. Step 3: Cross multiply
   1,191.96x = 1,788.29 × 498.27
4. Step 4: Simplify right side
   1,191.96x = 891,048.77
5. Step 5: Solve for x
   x = 891,048.77/1,191.96
6. Step 6: Final answer
   x = 747.55