Finding the Fourth Proportional to 1,189.82, 1,784.76 and 540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.82 : 1,784.76 = 540.50 : x
2. Step 2: Convert to fraction form
   1,189.82/1,784.76 = 540.50/x
3. Step 3: Cross multiply
   1,189.82x = 1,784.76 × 540.50
4. Step 4: Simplify right side
   1,189.82x = 964,662.78
5. Step 5: Solve for x
   x = 964,662.78/1,189.82
6. Step 6: Final answer
   x = 810.76