Finding the Fourth Proportional to 10,781.09, 16,138.18 and 5,838.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,781.09 : 16,138.18 = 5,838.47 : x
2. Step 2: Convert to fraction form
   10,781.09/16,138.18 = 5,838.47/x
3. Step 3: Cross multiply
   10,781.09x = 16,138.18 × 5,838.47
4. Step 4: Simplify right side
   10,781.09x = 94,222,279.78
5. Step 5: Solve for x
   x = 94,222,279.78/10,781.09
6. Step 6: Final answer
   x = 8,739.59