Finding the Fourth Proportional to 1,119.89, 1,678.83 and 470.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.89 : 1,678.83 = 470.68 : x
2. Step 2: Convert to fraction form
   1,119.89/1,678.83 = 470.68/x
3. Step 3: Cross multiply
   1,119.89x = 1,678.83 × 470.68
4. Step 4: Simplify right side
   1,119.89x = 790,185.74
5. Step 5: Solve for x
   x = 790,185.74/1,119.89
6. Step 6: Final answer
   x = 705.59