Finding the Fourth Proportional to 10,185.78, 14,056.80 and 5,709.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.78 : 14,056.80 = 5,709.42 : x
2. Step 2: Convert to fraction form
   10,185.78/14,056.80 = 5,709.42/x
3. Step 3: Cross multiply
   10,185.78x = 14,056.80 × 5,709.42
4. Step 4: Simplify right side
   10,185.78x = 80,256,175.06
5. Step 5: Solve for x
   x = 80,256,175.06/10,185.78
6. Step 6: Final answer
   x = 7,879.24