Finding the Fourth Proportional to 6,580.56, 9,857.82 and 3,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580.56 : 9,857.82 = 3,805.50 : x
2. Step 2: Convert to fraction form
   6,580.56/9,857.82 = 3,805.50/x
3. Step 3: Cross multiply
   6,580.56x = 9,857.82 × 3,805.50
4. Step 4: Simplify right side
   6,580.56x = 37,513,934.01
5. Step 5: Solve for x
   x = 37,513,934.01/6,580.56
6. Step 6: Final answer
   x = 5,700.72