Finding the Fourth Proportional to 7,005.32, 9,658.05 and 5,805.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.32 : 9,658.05 = 5,805.81 : x
2. Step 2: Convert to fraction form
   7,005.32/9,658.05 = 5,805.81/x
3. Step 3: Cross multiply
   7,005.32x = 9,658.05 × 5,805.81
4. Step 4: Simplify right side
   7,005.32x = 56,072,803.27
5. Step 5: Solve for x
   x = 56,072,803.27/7,005.32
6. Step 6: Final answer
   x = 8,004.32