Finding the Fourth Proportional to 1,189.30, 1,783.76 and 311.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.30 : 1,783.76 = 311.82 : x
2. Step 2: Convert to fraction form
   1,189.30/1,783.76 = 311.82/x
3. Step 3: Cross multiply
   1,189.30x = 1,783.76 × 311.82
4. Step 4: Simplify right side
   1,189.30x = 556,212.04
5. Step 5: Solve for x
   x = 556,212.04/1,189.30
6. Step 6: Final answer
   x = 467.68