Finding the Fourth Proportional to 5,262.42, 7,886.10 and 3,864.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262.42 : 7,886.10 = 3,864.78 : x
2. Step 2: Convert to fraction form
   5,262.42/7,886.10 = 3,864.78/x
3. Step 3: Cross multiply
   5,262.42x = 7,886.10 × 3,864.78
4. Step 4: Simplify right side
   5,262.42x = 30,478,041.56
5. Step 5: Solve for x
   x = 30,478,041.56/5,262.42
6. Step 6: Final answer
   x = 5,791.64