Finding the Fourth Proportional to 9,849.82, 14,770.41 and 3,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,849.82 : 14,770.41 = 3,689.50 : x
2. Step 2: Convert to fraction form
   9,849.82/14,770.41 = 3,689.50/x
3. Step 3: Cross multiply
   9,849.82x = 14,770.41 × 3,689.50
4. Step 4: Simplify right side
   9,849.82x = 54,495,427.70
5. Step 5: Solve for x
   x = 54,495,427.70/9,849.82
6. Step 6: Final answer
   x = 5,532.63