Finding the Fourth Proportional to 11,670.78, 16,114.50 and 7,697.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,670.78 : 16,114.50 = 7,697.46 : x
2. Step 2: Convert to fraction form
   11,670.78/16,114.50 = 7,697.46/x
3. Step 3: Cross multiply
   11,670.78x = 16,114.50 × 7,697.46
4. Step 4: Simplify right side
   11,670.78x = 124,040,719.17
5. Step 5: Solve for x
   x = 124,040,719.17/11,670.78
6. Step 6: Final answer
   x = 10,628.31