Finding the Fourth Proportional to 10,142.02, 13,994.49 and 5,951.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.02 : 13,994.49 = 5,951.62 : x
2. Step 2: Convert to fraction form
   10,142.02/13,994.49 = 5,951.62/x
3. Step 3: Cross multiply
   10,142.02x = 13,994.49 × 5,951.62
4. Step 4: Simplify right side
   10,142.02x = 83,289,886.57
5. Step 5: Solve for x
   x = 83,289,886.57/10,142.02
6. Step 6: Final answer
   x = 8,212.36