Finding the Fourth Proportional to 10,185.89, 14,056.40 and 5,709.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.89 : 14,056.40 = 5,709.63 : x
2. Step 2: Convert to fraction form
   10,185.89/14,056.40 = 5,709.63/x
3. Step 3: Cross multiply
   10,185.89x = 14,056.40 × 5,709.63
4. Step 4: Simplify right side
   10,185.89x = 80,256,814.58
5. Step 5: Solve for x
   x = 80,256,814.58/10,185.89
6. Step 6: Final answer
   x = 7,879.22