Finding the Fourth Proportional to 10,162.02, 14,024.15 and 5,685.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.02 : 14,024.15 = 5,685.76 : x
2. Step 2: Convert to fraction form
   10,162.02/14,024.15 = 5,685.76/x
3. Step 3: Cross multiply
   10,162.02x = 14,024.15 × 5,685.76
4. Step 4: Simplify right side
   10,162.02x = 79,737,951.10
5. Step 5: Solve for x
   x = 79,737,951.10/10,162.02
6. Step 6: Final answer
   x = 7,846.66