Finding the Fourth Proportional to 10,022.55, 13,831.29 and 5,485.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.55 : 13,831.29 = 5,485.63 : x
2. Step 2: Convert to fraction form
   10,022.55/13,831.29 = 5,485.63/x
3. Step 3: Cross multiply
   10,022.55x = 13,831.29 × 5,485.63
4. Step 4: Simplify right side
   10,022.55x = 75,873,304.78
5. Step 5: Solve for x
   x = 75,873,304.78/10,022.55
6. Step 6: Final answer
   x = 7,570.26