Finding the Fourth Proportional to 5,632.42, 7,772.06 and 3,114.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.42 : 7,772.06 = 3,114.34 : x
2. Step 2: Convert to fraction form
   5,632.42/7,772.06 = 3,114.34/x
3. Step 3: Cross multiply
   5,632.42x = 7,772.06 × 3,114.34
4. Step 4: Simplify right side
   5,632.42x = 24,204,837.34
5. Step 5: Solve for x
   x = 24,204,837.34/5,632.42
6. Step 6: Final answer
   x = 4,297.41