Finding the Fourth Proportional to 10,261.94, 14,162.20 and 5,786.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.94 : 14,162.20 = 5,786.10 : x
2. Step 2: Convert to fraction form
   10,261.94/14,162.20 = 5,786.10/x
3. Step 3: Cross multiply
   10,261.94x = 14,162.20 × 5,786.10
4. Step 4: Simplify right side
   10,261.94x = 81,943,905.42
5. Step 5: Solve for x
   x = 81,943,905.42/10,261.94
6. Step 6: Final answer
   x = 7,985.23