Finding the Fourth Proportional to 2,563.67, 3,538.50 and 1,569.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.67 : 3,538.50 = 1,569.80 : x
2. Step 2: Convert to fraction form
   2,563.67/3,538.50 = 1,569.80/x
3. Step 3: Cross multiply
   2,563.67x = 3,538.50 × 1,569.80
4. Step 4: Simplify right side
   2,563.67x = 5,554,737.30
5. Step 5: Solve for x
   x = 5,554,737.30/2,563.67
6. Step 6: Final answer
   x = 2,166.71