Finding the Fourth Proportional to 10,733.62, 16,101.60 and 5,185.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,733.62 : 16,101.60 = 5,185.90 : x
2. Step 2: Convert to fraction form
   10,733.62/16,101.60 = 5,185.90/x
3. Step 3: Cross multiply
   10,733.62x = 16,101.60 × 5,185.90
4. Step 4: Simplify right side
   10,733.62x = 83,501,287.44
5. Step 5: Solve for x
   x = 83,501,287.44/10,733.62
6. Step 6: Final answer
   x = 7,779.42