Finding the Fourth Proportional to 11,406.24, 15,738.50 and 7,868.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,406.24 : 15,738.50 = 7,868.16 : x
2. Step 2: Convert to fraction form
   11,406.24/15,738.50 = 7,868.16/x
3. Step 3: Cross multiply
   11,406.24x = 15,738.50 × 7,868.16
4. Step 4: Simplify right side
   11,406.24x = 123,833,036.16
5. Step 5: Solve for x
   x = 123,833,036.16/11,406.24
6. Step 6: Final answer
   x = 10,856.60