Finding the Fourth Proportional to 9,127.97, 12,598.55 and 5,768.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,127.97 : 12,598.55 = 5,768.64 : x
2. Step 2: Convert to fraction form
   9,127.97/12,598.55 = 5,768.64/x
3. Step 3: Cross multiply
   9,127.97x = 12,598.55 × 5,768.64
4. Step 4: Simplify right side
   9,127.97x = 72,676,499.47
5. Step 5: Solve for x
   x = 72,676,499.47/9,127.97
6. Step 6: Final answer
   x = 7,961.96