Finding the Fourth Proportional to 12,066.34, 16,642.65 and 7,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,066.34 : 16,642.65 = 7,586.50 : x
2. Step 2: Convert to fraction form
   12,066.34/16,642.65 = 7,586.50/x
3. Step 3: Cross multiply
   12,066.34x = 16,642.65 × 7,586.50
4. Step 4: Simplify right side
   12,066.34x = 126,259,464.23
5. Step 5: Solve for x
   x = 126,259,464.23/12,066.34
6. Step 6: Final answer
   x = 10,463.77