Finding the Fourth Proportional to 1,191.51, 1,786.25 and 498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.51 : 1,786.25 = 498.69 : x
2. Step 2: Convert to fraction form
   1,191.51/1,786.25 = 498.69/x
3. Step 3: Cross multiply
   1,191.51x = 1,786.25 × 498.69
4. Step 4: Simplify right side
   1,191.51x = 890,786.26
5. Step 5: Solve for x
   x = 890,786.26/1,191.51
6. Step 6: Final answer
   x = 747.61