Finding the Fourth Proportional to 10,038.29, 13,852.47 and 5,789.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.29 : 13,852.47 = 5,789.53 : x
2. Step 2: Convert to fraction form
   10,038.29/13,852.47 = 5,789.53/x
3. Step 3: Cross multiply
   10,038.29x = 13,852.47 × 5,789.53
4. Step 4: Simplify right side
   10,038.29x = 80,199,307.95
5. Step 5: Solve for x
   x = 80,199,307.95/10,038.29
6. Step 6: Final answer
   x = 7,989.34