Finding the Fourth Proportional to 11,779.98, 17,665.65 and 3,457.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,779.98 : 17,665.65 = 3,457.86 : x
2. Step 2: Convert to fraction form
   11,779.98/17,665.65 = 3,457.86/x
3. Step 3: Cross multiply
   11,779.98x = 17,665.65 × 3,457.86
4. Step 4: Simplify right side
   11,779.98x = 61,085,344.51
5. Step 5: Solve for x
   x = 61,085,344.51/11,779.98
6. Step 6: Final answer
   x = 5,185.52