Finding the Fourth Proportional to 7,875.76, 10,864.92 and 5,082.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,875.76 : 10,864.92 = 5,082.16 : x
2. Step 2: Convert to fraction form
   7,875.76/10,864.92 = 5,082.16/x
3. Step 3: Cross multiply
   7,875.76x = 10,864.92 × 5,082.16
4. Step 4: Simplify right side
   7,875.76x = 55,217,261.83
5. Step 5: Solve for x
   x = 55,217,261.83/7,875.76
6. Step 6: Final answer
   x = 7,011.04