Finding the Fourth Proportional to 7,546.42, 10,407.76 and 5,662.18

Step by Step Solution

1. Step 1: Write the proportion equation
   7,546.42 : 10,407.76 = 5,662.18 : x
2. Step 2: Convert to fraction form
   7,546.42/10,407.76 = 5,662.18/x
3. Step 3: Cross multiply
   7,546.42x = 10,407.76 × 5,662.18
4. Step 4: Simplify right side
   7,546.42x = 58,930,610.52
5. Step 5: Solve for x
   x = 58,930,610.52/7,546.42
6. Step 6: Final answer
   x = 7,809.08