Finding the Fourth Proportional to 10,738.74, 16,112.52 and 5,802.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.74 : 16,112.52 = 5,802.60 : x
2. Step 2: Convert to fraction form
   10,738.74/16,112.52 = 5,802.60/x
3. Step 3: Cross multiply
   10,738.74x = 16,112.52 × 5,802.60
4. Step 4: Simplify right side
   10,738.74x = 93,494,508.55
5. Step 5: Solve for x
   x = 93,494,508.55/10,738.74
6. Step 6: Final answer
   x = 8,706.28