Finding the Fourth Proportional to 10,038.53, 13,855.10 and 5,792.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.53 : 13,855.10 = 5,792.32 : x
2. Step 2: Convert to fraction form
   10,038.53/13,855.10 = 5,792.32/x
3. Step 3: Cross multiply
   10,038.53x = 13,855.10 × 5,792.32
4. Step 4: Simplify right side
   10,038.53x = 80,253,172.83
5. Step 5: Solve for x
   x = 80,253,172.83/10,038.53
6. Step 6: Final answer
   x = 7,994.52