Finding the Fourth Proportional to 23,566.34, 35,336.15 and 7,767.09

Step by Step Solution

1. Step 1: Write the proportion equation
   23,566.34 : 35,336.15 = 7,767.09 : x
2. Step 2: Convert to fraction form
   23,566.34/35,336.15 = 7,767.09/x
3. Step 3: Cross multiply
   23,566.34x = 35,336.15 × 7,767.09
4. Step 4: Simplify right side
   23,566.34x = 274,459,047.59
5. Step 5: Solve for x
   x = 274,459,047.59/23,566.34
6. Step 6: Final answer
   x = 11,646.23