Finding the Fourth Proportional to 10,406.05, 14,360.40 and 5,690.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.05 : 14,360.40 = 5,690.33 : x
2. Step 2: Convert to fraction form
   10,406.05/14,360.40 = 5,690.33/x
3. Step 3: Cross multiply
   10,406.05x = 14,360.40 × 5,690.33
4. Step 4: Simplify right side
   10,406.05x = 81,715,414.93
5. Step 5: Solve for x
   x = 81,715,414.93/10,406.05
6. Step 6: Final answer
   x = 7,852.68