Finding the Fourth Proportional to 10,366.78, 14,305.74 and 5,650.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366.78 : 14,305.74 = 5,650.96 : x
2. Step 2: Convert to fraction form
   10,366.78/14,305.74 = 5,650.96/x
3. Step 3: Cross multiply
   10,366.78x = 14,305.74 × 5,650.96
4. Step 4: Simplify right side
   10,366.78x = 80,841,164.51
5. Step 5: Solve for x
   x = 80,841,164.51/10,366.78
6. Step 6: Final answer
   x = 7,798.10