Finding the Fourth Proportional to 10,162.51, 14,022.92 and 5,685.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.51 : 14,022.92 = 5,685.77 : x
2. Step 2: Convert to fraction form
   10,162.51/14,022.92 = 5,685.77/x
3. Step 3: Cross multiply
   10,162.51x = 14,022.92 × 5,685.77
4. Step 4: Simplify right side
   10,162.51x = 79,731,069.42
5. Step 5: Solve for x
   x = 79,731,069.42/10,162.51
6. Step 6: Final answer
   x = 7,845.61