Finding the Fourth Proportional to 10,406.09, 14,360.74 and 5,690.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.09 : 14,360.74 = 5,690.37 : x
2. Step 2: Convert to fraction form
   10,406.09/14,360.74 = 5,690.37/x
3. Step 3: Cross multiply
   10,406.09x = 14,360.74 × 5,690.37
4. Step 4: Simplify right side
   10,406.09x = 81,717,877.33
5. Step 5: Solve for x
   x = 81,717,877.33/10,406.09
6. Step 6: Final answer
   x = 7,852.89