Finding the Fourth Proportional to 10,161.02, 14,022.77 and 5,684.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.02 : 14,022.77 = 5,684.76 : x
2. Step 2: Convert to fraction form
   10,161.02/14,022.77 = 5,684.76/x
3. Step 3: Cross multiply
   10,161.02x = 14,022.77 × 5,684.76
4. Step 4: Simplify right side
   10,161.02x = 79,716,053.56
5. Step 5: Solve for x
   x = 79,716,053.56/10,161.02
6. Step 6: Final answer
   x = 7,845.28