Finding the Fourth Proportional to 2,558.86, 3,531.49 and 1,564.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.86 : 3,531.49 = 1,564.80 : x
2. Step 2: Convert to fraction form
   2,558.86/3,531.49 = 1,564.80/x
3. Step 3: Cross multiply
   2,558.86x = 3,531.49 × 1,564.80
4. Step 4: Simplify right side
   2,558.86x = 5,526,075.55
5. Step 5: Solve for x
   x = 5,526,075.55/2,558.86
6. Step 6: Final answer
   x = 2,159.58