Finding the Fourth Proportional to 1,189.35, 1,783.71 and 539.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.35 : 1,783.71 = 539.94 : x
2. Step 2: Convert to fraction form
   1,189.35/1,783.71 = 539.94/x
3. Step 3: Cross multiply
   1,189.35x = 1,783.71 × 539.94
4. Step 4: Simplify right side
   1,189.35x = 963,096.38
5. Step 5: Solve for x
   x = 963,096.38/1,189.35
6. Step 6: Final answer
   x = 809.77