Finding the Fourth Proportional to 10,722.89, 14,797.40 and 6,185.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,722.89 : 14,797.40 = 6,185.55 : x
2. Step 2: Convert to fraction form
   10,722.89/14,797.40 = 6,185.55/x
3. Step 3: Cross multiply
   10,722.89x = 14,797.40 × 6,185.55
4. Step 4: Simplify right side
   10,722.89x = 91,530,070.02
5. Step 5: Solve for x
   x = 91,530,070.02/10,722.89
6. Step 6: Final answer
   x = 8,535.95