Finding the Fourth Proportional to 9,853.50, 14,784.58 and 5,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.50 : 14,784.58 = 5,749.50 : x
2. Step 2: Convert to fraction form
   9,853.50/14,784.58 = 5,749.50/x
3. Step 3: Cross multiply
   9,853.50x = 14,784.58 × 5,749.50
4. Step 4: Simplify right side
   9,853.50x = 85,003,942.71
5. Step 5: Solve for x
   x = 85,003,942.71/9,853.50
6. Step 6: Final answer
   x = 8,626.78