Finding the Fourth Proportional to 3,876.84, 5,816.48 and 3,644.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.84 : 5,816.48 = 3,644.78 : x
2. Step 2: Convert to fraction form
   3,876.84/5,816.48 = 3,644.78/x
3. Step 3: Cross multiply
   3,876.84x = 5,816.48 × 3,644.78
4. Step 4: Simplify right side
   3,876.84x = 21,199,742.67
5. Step 5: Solve for x
   x = 21,199,742.67/3,876.84
6. Step 6: Final answer
   x = 5,468.30