Finding the Fourth Proportional to 9,156.84, 12,637.12 and 5,178.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.84 : 12,637.12 = 5,178.36 : x
2. Step 2: Convert to fraction form
   9,156.84/12,637.12 = 5,178.36/x
3. Step 3: Cross multiply
   9,156.84x = 12,637.12 × 5,178.36
4. Step 4: Simplify right side
   9,156.84x = 65,439,556.72
5. Step 5: Solve for x
   x = 65,439,556.72/9,156.84
6. Step 6: Final answer
   x = 7,146.52