Finding the Fourth Proportional to 5,665.81, 7,820.06 and 3,148.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.81 : 7,820.06 = 3,148.78 : x
2. Step 2: Convert to fraction form
   5,665.81/7,820.06 = 3,148.78/x
3. Step 3: Cross multiply
   5,665.81x = 7,820.06 × 3,148.78
4. Step 4: Simplify right side
   5,665.81x = 24,623,648.53
5. Step 5: Solve for x
   x = 24,623,648.53/5,665.81
6. Step 6: Final answer
   x = 4,346.01