Finding the Fourth Proportional to 3,877.84, 5,817.98 and 3,645.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.84 : 5,817.98 = 3,645.78 : x
2. Step 2: Convert to fraction form
   3,877.84/5,817.98 = 3,645.78/x
3. Step 3: Cross multiply
   3,877.84x = 5,817.98 × 3,645.78
4. Step 4: Simplify right side
   3,877.84x = 21,211,075.12
5. Step 5: Solve for x
   x = 21,211,075.12/3,877.84
6. Step 6: Final answer
   x = 5,469.82