Finding the Fourth Proportional to 11,776.94, 17,665.52 and 3,457.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.94 : 17,665.52 = 3,457.10 : x
2. Step 2: Convert to fraction form
   11,776.94/17,665.52 = 3,457.10/x
3. Step 3: Cross multiply
   11,776.94x = 17,665.52 × 3,457.10
4. Step 4: Simplify right side
   11,776.94x = 61,071,363.58
5. Step 5: Solve for x
   x = 61,071,363.58/11,776.94
6. Step 6: Final answer
   x = 5,185.67