Finding the Fourth Proportional to 1,083.69, 1,625.69 and 314.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.69 : 1,625.69 = 314.09 : x
2. Step 2: Convert to fraction form
   1,083.69/1,625.69 = 314.09/x
3. Step 3: Cross multiply
   1,083.69x = 1,625.69 × 314.09
4. Step 4: Simplify right side
   1,083.69x = 510,604.84
5. Step 5: Solve for x
   x = 510,604.84/1,083.69
6. Step 6: Final answer
   x = 471.17