Finding the Fourth Proportional to 1,188.91, 1,782.60 and 496.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.91 : 1,782.60 = 496.05 : x
2. Step 2: Convert to fraction form
   1,188.91/1,782.60 = 496.05/x
3. Step 3: Cross multiply
   1,188.91x = 1,782.60 × 496.05
4. Step 4: Simplify right side
   1,188.91x = 884,256.25
5. Step 5: Solve for x
   x = 884,256.25/1,188.91
6. Step 6: Final answer
   x = 743.76