Finding the Fourth Proportional to 9,847.50, 14,775.57 and 5,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,847.50 : 14,775.57 = 5,743.50 : x
2. Step 2: Convert to fraction form
   9,847.50/14,775.57 = 5,743.50/x
3. Step 3: Cross multiply
   9,847.50x = 14,775.57 × 5,743.50
4. Step 4: Simplify right side
   9,847.50x = 84,863,486.30
5. Step 5: Solve for x
   x = 84,863,486.30/9,847.50
6. Step 6: Final answer
   x = 8,617.77