Finding the Fourth Proportional to 10,371.78, 14,313.06 and 5,656.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,371.78 : 14,313.06 = 5,656.35 : x
2. Step 2: Convert to fraction form
   10,371.78/14,313.06 = 5,656.35/x
3. Step 3: Cross multiply
   10,371.78x = 14,313.06 × 5,656.35
4. Step 4: Simplify right side
   10,371.78x = 80,959,676.93
5. Step 5: Solve for x
   x = 80,959,676.93/10,371.78
6. Step 6: Final answer
   x = 7,805.76