Finding the Fourth Proportional to 1,411.82, 2,109.14 and 914.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.82 : 2,109.14 = 914.17 : x
2. Step 2: Convert to fraction form
   1,411.82/2,109.14 = 914.17/x
3. Step 3: Cross multiply
   1,411.82x = 2,109.14 × 914.17
4. Step 4: Simplify right side
   1,411.82x = 1,928,110.05
5. Step 5: Solve for x
   x = 1,928,110.05/1,411.82
6. Step 6: Final answer
   x = 1,365.69