Finding the Fourth Proportional to 10,262.16, 14,160.78 and 5,785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.16 : 14,160.78 = 5,785.38 : x
2. Step 2: Convert to fraction form
   10,262.16/14,160.78 = 5,785.38/x
3. Step 3: Cross multiply
   10,262.16x = 14,160.78 × 5,785.38
4. Step 4: Simplify right side
   10,262.16x = 81,925,493.40
5. Step 5: Solve for x
   x = 81,925,493.40/10,262.16
6. Step 6: Final answer
   x = 7,983.26