Finding the Fourth Proportional to 15,665.75, 23,505.69 and 7,776.15

Step by Step Solution

1. Step 1: Write the proportion equation
   15,665.75 : 23,505.69 = 7,776.15 : x
2. Step 2: Convert to fraction form
   15,665.75/23,505.69 = 7,776.15/x
3. Step 3: Cross multiply
   15,665.75x = 23,505.69 × 7,776.15
4. Step 4: Simplify right side
   15,665.75x = 182,783,844.53
5. Step 5: Solve for x
   x = 182,783,844.53/15,665.75
6. Step 6: Final answer
   x = 11,667.73