Finding the Fourth Proportional to 9,156.42, 12,635.76 and 5,178.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.42 : 12,635.76 = 5,178.30 : x
2. Step 2: Convert to fraction form
   9,156.42/12,635.76 = 5,178.30/x
3. Step 3: Cross multiply
   9,156.42x = 12,635.76 × 5,178.30
4. Step 4: Simplify right side
   9,156.42x = 65,431,756.01
5. Step 5: Solve for x
   x = 65,431,756.01/9,156.42
6. Step 6: Final answer
   x = 7,146.00