Finding the Fourth Proportional to 9,200.42, 13,796.81 and 5,685.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.42 : 13,796.81 = 5,685.27 : x
2. Step 2: Convert to fraction form
   9,200.42/13,796.81 = 5,685.27/x
3. Step 3: Cross multiply
   9,200.42x = 13,796.81 × 5,685.27
4. Step 4: Simplify right side
   9,200.42x = 78,438,561.56
5. Step 5: Solve for x
   x = 78,438,561.56/9,200.42
6. Step 6: Final answer
   x = 8,525.55