Finding the Fourth Proportional to 10,622.56, 14,659.15 and 5,906.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.56 : 14,659.15 = 5,906.80 : x
2. Step 2: Convert to fraction form
   10,622.56/14,659.15 = 5,906.80/x
3. Step 3: Cross multiply
   10,622.56x = 14,659.15 × 5,906.80
4. Step 4: Simplify right side
   10,622.56x = 86,588,667.22
5. Step 5: Solve for x
   x = 86,588,667.22/10,622.56
6. Step 6: Final answer
   x = 8,151.39