Finding the Fourth Proportional to 5,624.78, 7,762.41 and 3,106.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624.78 : 7,762.41 = 3,106.78 : x
2. Step 2: Convert to fraction form
   5,624.78/7,762.41 = 3,106.78/x
3. Step 3: Cross multiply
   5,624.78x = 7,762.41 × 3,106.78
4. Step 4: Simplify right side
   5,624.78x = 24,116,080.73
5. Step 5: Solve for x
   x = 24,116,080.73/5,624.78
6. Step 6: Final answer
   x = 4,287.47