Finding the Fourth Proportional to 1,191.52, 1,786.72 and 498.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.52 : 1,786.72 = 498.24 : x
2. Step 2: Convert to fraction form
   1,191.52/1,786.72 = 498.24/x
3. Step 3: Cross multiply
   1,191.52x = 1,786.72 × 498.24
4. Step 4: Simplify right side
   1,191.52x = 890,215.37
5. Step 5: Solve for x
   x = 890,215.37/1,191.52
6. Step 6: Final answer
   x = 747.13