Finding the Fourth Proportional to 5,648.53, 7,791.07 and 3,877.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.53 : 7,791.07 = 3,877.06 : x
2. Step 2: Convert to fraction form
   5,648.53/7,791.07 = 3,877.06/x
3. Step 3: Cross multiply
   5,648.53x = 7,791.07 × 3,877.06
4. Step 4: Simplify right side
   5,648.53x = 30,206,426.47
5. Step 5: Solve for x
   x = 30,206,426.47/5,648.53
6. Step 6: Final answer
   x = 5,347.66