Finding the Fourth Proportional to 9,106.49, 12,567.49 and 5,127.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.49 : 12,567.49 = 5,127.77 : x
2. Step 2: Convert to fraction form
   9,106.49/12,567.49 = 5,127.77/x
3. Step 3: Cross multiply
   9,106.49x = 12,567.49 × 5,127.77
4. Step 4: Simplify right side
   9,106.49x = 64,443,216.80
5. Step 5: Solve for x
   x = 64,443,216.80/9,106.49
6. Step 6: Final answer
   x = 7,076.62