Finding the Fourth Proportional to 10,761.24, 16,145.94 and 5,214.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761.24 : 16,145.94 = 5,214.18 : x
2. Step 2: Convert to fraction form
   10,761.24/16,145.94 = 5,214.18/x
3. Step 3: Cross multiply
   10,761.24x = 16,145.94 × 5,214.18
4. Step 4: Simplify right side
   10,761.24x = 84,187,837.43
5. Step 5: Solve for x
   x = 84,187,837.43/10,761.24
6. Step 6: Final answer
   x = 7,823.25