Finding the Fourth Proportional to 7,006.33, 9,659.43 and 5,806.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,006.33 : 9,659.43 = 5,806.82 : x
2. Step 2: Convert to fraction form
   7,006.33/9,659.43 = 5,806.82/x
3. Step 3: Cross multiply
   7,006.33x = 9,659.43 × 5,806.82
4. Step 4: Simplify right side
   7,006.33x = 56,090,523.02
5. Step 5: Solve for x
   x = 56,090,523.02/7,006.33
6. Step 6: Final answer
   x = 8,005.70