Finding the Fourth Proportional to 1,093.82, 1,640.72 and 313.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.82 : 1,640.72 = 313.83 : x
2. Step 2: Convert to fraction form
   1,093.82/1,640.72 = 313.83/x
3. Step 3: Cross multiply
   1,093.82x = 1,640.72 × 313.83
4. Step 4: Simplify right side
   1,093.82x = 514,905.59
5. Step 5: Solve for x
   x = 514,905.59/1,093.82
6. Step 6: Final answer
   x = 470.74