Finding the Fourth Proportional to 10,142.92, 15,196.29 and 6,192.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.92 : 15,196.29 = 6,192.10 : x
2. Step 2: Convert to fraction form
   10,142.92/15,196.29 = 6,192.10/x
3. Step 3: Cross multiply
   10,142.92x = 15,196.29 × 6,192.10
4. Step 4: Simplify right side
   10,142.92x = 94,096,947.31
5. Step 5: Solve for x
   x = 94,096,947.31/10,142.92
6. Step 6: Final answer
   x = 9,277.11