Finding the Fourth Proportional to 6,658.78, 9,985.24 and 3,538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,658.78 : 9,985.24 = 3,538.05 : x
2. Step 2: Convert to fraction form
   6,658.78/9,985.24 = 3,538.05/x
3. Step 3: Cross multiply
   6,658.78x = 9,985.24 × 3,538.05
4. Step 4: Simplify right side
   6,658.78x = 35,328,269.54
5. Step 5: Solve for x
   x = 35,328,269.54/6,658.78
6. Step 6: Final answer
   x = 5,305.52