Finding the Fourth Proportional to 10,161.88, 14,023.74 and 5,685.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.88 : 14,023.74 = 5,685.82 : x
2. Step 2: Convert to fraction form
   10,161.88/14,023.74 = 5,685.82/x
3. Step 3: Cross multiply
   10,161.88x = 14,023.74 × 5,685.82
4. Step 4: Simplify right side
   10,161.88x = 79,736,461.37
5. Step 5: Solve for x
   x = 79,736,461.37/10,161.88
6. Step 6: Final answer
   x = 7,846.62