Finding the Fourth Proportional to 10,038.35, 13,854.87 and 5,792.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.35 : 13,854.87 = 5,792.16 : x
2. Step 2: Convert to fraction form
   10,038.35/13,854.87 = 5,792.16/x
3. Step 3: Cross multiply
   10,038.35x = 13,854.87 × 5,792.16
4. Step 4: Simplify right side
   10,038.35x = 80,249,623.82
5. Step 5: Solve for x
   x = 80,249,623.82/10,038.35
6. Step 6: Final answer
   x = 7,994.30