Finding the Fourth Proportional to 7,886.16, 10,884.24 and 7,536.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,886.16 : 10,884.24 = 7,536.24 : x
2. Step 2: Convert to fraction form
   7,886.16/10,884.24 = 7,536.24/x
3. Step 3: Cross multiply
   7,886.16x = 10,884.24 × 7,536.24
4. Step 4: Simplify right side
   7,886.16x = 82,026,244.86
5. Step 5: Solve for x
   x = 82,026,244.86/7,886.16
6. Step 6: Final answer
   x = 10,401.29