Finding the Fourth Proportional to 7,766.58, 11,649.89 and 3,606.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766.58 : 11,649.89 = 3,606.06 : x
2. Step 2: Convert to fraction form
   7,766.58/11,649.89 = 3,606.06/x
3. Step 3: Cross multiply
   7,766.58x = 11,649.89 × 3,606.06
4. Step 4: Simplify right side
   7,766.58x = 42,010,202.33
5. Step 5: Solve for x
   x = 42,010,202.33/7,766.58
6. Step 6: Final answer
   x = 5,409.10