Finding the Fourth Proportional to 9,086.67, 12,538.68 and 5,107.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.67 : 12,538.68 = 5,107.77 : x
2. Step 2: Convert to fraction form
   9,086.67/12,538.68 = 5,107.77/x
3. Step 3: Cross multiply
   9,086.67x = 12,538.68 × 5,107.77
4. Step 4: Simplify right side
   9,086.67x = 64,044,693.54
5. Step 5: Solve for x
   x = 64,044,693.54/9,086.67
6. Step 6: Final answer
   x = 7,048.20