Finding the Fourth Proportional to 10,020.59, 13,829.45 and 5,771.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,020.59 : 13,829.45 = 5,771.81 : x
2. Step 2: Convert to fraction form
   10,020.59/13,829.45 = 5,771.81/x
3. Step 3: Cross multiply
   10,020.59x = 13,829.45 × 5,771.81
4. Step 4: Simplify right side
   10,020.59x = 79,820,963.52
5. Step 5: Solve for x
   x = 79,820,963.52/10,020.59
6. Step 6: Final answer
   x = 7,965.70