Finding the Fourth Proportional to 8,085.02, 12,127.49 and 2,538.77

Step by Step Solution

1. Step 1: Write the proportion equation
   8,085.02 : 12,127.49 = 2,538.77 : x
2. Step 2: Convert to fraction form
   8,085.02/12,127.49 = 2,538.77/x
3. Step 3: Cross multiply
   8,085.02x = 12,127.49 × 2,538.77
4. Step 4: Simplify right side
   8,085.02x = 30,788,907.79
5. Step 5: Solve for x
   x = 30,788,907.79/8,085.02
6. Step 6: Final answer
   x = 3,808.14