Finding the Fourth Proportional to 9,843.35, 14,773.49 and 5,166.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,843.35 : 14,773.49 = 5,166.62 : x
2. Step 2: Convert to fraction form
   9,843.35/14,773.49 = 5,166.62/x
3. Step 3: Cross multiply
   9,843.35x = 14,773.49 × 5,166.62
4. Step 4: Simplify right side
   9,843.35x = 76,328,909.20
5. Step 5: Solve for x
   x = 76,328,909.20/9,843.35
6. Step 6: Final answer
   x = 7,754.37