Finding the Fourth Proportional to 1,189.55, 1,784.83 and 496.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.55 : 1,784.83 = 496.35 : x
2. Step 2: Convert to fraction form
   1,189.55/1,784.83 = 496.35/x
3. Step 3: Cross multiply
   1,189.55x = 1,784.83 × 496.35
4. Step 4: Simplify right side
   1,189.55x = 885,900.37
5. Step 5: Solve for x
   x = 885,900.37/1,189.55
6. Step 6: Final answer
   x = 744.74