Finding the Fourth Proportional to 7,146.42, 9,854.84 and 5,510.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146.42 : 9,854.84 = 5,510.27 : x
2. Step 2: Convert to fraction form
   7,146.42/9,854.84 = 5,510.27/x
3. Step 3: Cross multiply
   7,146.42x = 9,854.84 × 5,510.27
4. Step 4: Simplify right side
   7,146.42x = 54,302,867.62
5. Step 5: Solve for x
   x = 54,302,867.62/7,146.42
6. Step 6: Final answer
   x = 7,598.61