Finding the Fourth Proportional to 10,038.33, 13,851.91 and 5,789.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.33 : 13,851.91 = 5,789.78 : x
2. Step 2: Convert to fraction form
   10,038.33/13,851.91 = 5,789.78/x
3. Step 3: Cross multiply
   10,038.33x = 13,851.91 × 5,789.78
4. Step 4: Simplify right side
   10,038.33x = 80,199,501.40
5. Step 5: Solve for x
   x = 80,199,501.40/10,038.33
6. Step 6: Final answer
   x = 7,989.33