Finding the Fourth Proportional to 10,780.09, 16,136.69 and 5,837.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.09 : 16,136.69 = 5,837.47 : x
2. Step 2: Convert to fraction form
   10,780.09/16,136.69 = 5,837.47/x
3. Step 3: Cross multiply
   10,780.09x = 16,136.69 × 5,837.47
4. Step 4: Simplify right side
   10,780.09x = 94,197,374.25
5. Step 5: Solve for x
   x = 94,197,374.25/10,780.09
6. Step 6: Final answer
   x = 8,738.09