Finding the Fourth Proportional to 10,013.99, 13,820.33 and 5,765.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.99 : 13,820.33 = 5,765.21 : x
2. Step 2: Convert to fraction form
   10,013.99/13,820.33 = 5,765.21/x
3. Step 3: Cross multiply
   10,013.99x = 13,820.33 × 5,765.21
4. Step 4: Simplify right side
   10,013.99x = 79,677,006.79
5. Step 5: Solve for x
   x = 79,677,006.79/10,013.99
6. Step 6: Final answer
   x = 7,956.57