Finding the Fourth Proportional to 9,843.50, 14,773.77 and 5,166.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,843.50 : 14,773.77 = 5,166.81 : x
2. Step 2: Convert to fraction form
   9,843.50/14,773.77 = 5,166.81/x
3. Step 3: Cross multiply
   9,843.50x = 14,773.77 × 5,166.81
4. Step 4: Simplify right side
   9,843.50x = 76,333,262.57
5. Step 5: Solve for x
   x = 76,333,262.57/9,843.50
6. Step 6: Final answer
   x = 7,754.69