Finding the Fourth Proportional to 5,262.56, 7,886.32 and 3,864.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262.56 : 7,886.32 = 3,864.92 : x
2. Step 2: Convert to fraction form
   5,262.56/7,886.32 = 3,864.92/x
3. Step 3: Cross multiply
   5,262.56x = 7,886.32 × 3,864.92
4. Step 4: Simplify right side
   5,262.56x = 30,479,995.89
5. Step 5: Solve for x
   x = 30,479,995.89/5,262.56
6. Step 6: Final answer
   x = 5,791.86