Finding the Fourth Proportional to 11,185.83, 16,779.96 and 3,688.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,185.83 : 16,779.96 = 3,688.47 : x
2. Step 2: Convert to fraction form
   11,185.83/16,779.96 = 3,688.47/x
3. Step 3: Cross multiply
   11,185.83x = 16,779.96 × 3,688.47
4. Step 4: Simplify right side
   11,185.83x = 61,892,379.06
5. Step 5: Solve for x
   x = 61,892,379.06/11,185.83
6. Step 6: Final answer
   x = 5,533.11