Finding the Fourth Proportional to 10,406.10, 14,360.42 and 5,690.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.10 : 14,360.42 = 5,690.38 : x
2. Step 2: Convert to fraction form
   10,406.10/14,360.42 = 5,690.38/x
3. Step 3: Cross multiply
   10,406.10x = 14,360.42 × 5,690.38
4. Step 4: Simplify right side
   10,406.10x = 81,716,246.76
5. Step 5: Solve for x
   x = 81,716,246.76/10,406.10
6. Step 6: Final answer
   x = 7,852.73