Finding the Fourth Proportional to 7,833.69, 10,806.71 and 5,708.21

Step by Step Solution

1. Step 1: Write the proportion equation
   7,833.69 : 10,806.71 = 5,708.21 : x
2. Step 2: Convert to fraction form
   7,833.69/10,806.71 = 5,708.21/x
3. Step 3: Cross multiply
   7,833.69x = 10,806.71 × 5,708.21
4. Step 4: Simplify right side
   7,833.69x = 61,686,887.51
5. Step 5: Solve for x
   x = 61,686,887.51/7,833.69
6. Step 6: Final answer
   x = 7,874.56