Finding the Fourth Proportional to 1,189.72, 1,783.89 and 540.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.72 : 1,783.89 = 540.10 : x
2. Step 2: Convert to fraction form
   1,189.72/1,783.89 = 540.10/x
3. Step 3: Cross multiply
   1,189.72x = 1,783.89 × 540.10
4. Step 4: Simplify right side
   1,189.72x = 963,478.99
5. Step 5: Solve for x
   x = 963,478.99/1,189.72
6. Step 6: Final answer
   x = 809.84