Finding the Fourth Proportional to 9,843.60, 14,773.94 and 5,166.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,843.60 : 14,773.94 = 5,166.92 : x
2. Step 2: Convert to fraction form
   9,843.60/14,773.94 = 5,166.92/x
3. Step 3: Cross multiply
   9,843.60x = 14,773.94 × 5,166.92
4. Step 4: Simplify right side
   9,843.60x = 76,335,766.06
5. Step 5: Solve for x
   x = 76,335,766.06/9,843.60
6. Step 6: Final answer
   x = 7,754.86