Finding the Fourth Proportional to 5,762.80, 8,632.56 and 3,538.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,762.80 : 8,632.56 = 3,538.80 : x
2. Step 2: Convert to fraction form
   5,762.80/8,632.56 = 3,538.80/x
3. Step 3: Cross multiply
   5,762.80x = 8,632.56 × 3,538.80
4. Step 4: Simplify right side
   5,762.80x = 30,548,903.33
5. Step 5: Solve for x
   x = 30,548,903.33/5,762.80
6. Step 6: Final answer
   x = 5,301.05