Finding the Fourth Proportional to 10,406.92, 14,361.69 and 5,691.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.92 : 14,361.69 = 5,691.19 : x
2. Step 2: Convert to fraction form
   10,406.92/14,361.69 = 5,691.19/x
3. Step 3: Cross multiply
   10,406.92x = 14,361.69 × 5,691.19
4. Step 4: Simplify right side
   10,406.92x = 81,735,106.51
5. Step 5: Solve for x
   x = 81,735,106.51/10,406.92
6. Step 6: Final answer
   x = 7,853.92