Finding the Fourth Proportional to 9,114.42, 12,576.96 and 5,135.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.42 : 12,576.96 = 5,135.34 : x
2. Step 2: Convert to fraction form
   9,114.42/12,576.96 = 5,135.34/x
3. Step 3: Cross multiply
   9,114.42x = 12,576.96 × 5,135.34
4. Step 4: Simplify right side
   9,114.42x = 64,586,965.77
5. Step 5: Solve for x
   x = 64,586,965.77/9,114.42
6. Step 6: Final answer
   x = 7,086.24