Finding the Fourth Proportional to 10,612.14, 14,644.95 and 5,896.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,612.14 : 14,644.95 = 5,896.86 : x
2. Step 2: Convert to fraction form
   10,612.14/14,644.95 = 5,896.86/x
3. Step 3: Cross multiply
   10,612.14x = 14,644.95 × 5,896.86
4. Step 4: Simplify right side
   10,612.14x = 86,359,219.86
5. Step 5: Solve for x
   x = 86,359,219.86/10,612.14
6. Step 6: Final answer
   x = 8,137.78