Finding the Fourth Proportional to 9,835.50, 14,755.41 and 3,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.50 : 14,755.41 = 3,679.50 : x
2. Step 2: Convert to fraction form
   9,835.50/14,755.41 = 3,679.50/x
3. Step 3: Cross multiply
   9,835.50x = 14,755.41 × 3,679.50
4. Step 4: Simplify right side
   9,835.50x = 54,292,531.10
5. Step 5: Solve for x
   x = 54,292,531.10/9,835.50
6. Step 6: Final answer
   x = 5,520.06