Finding the Fourth Proportional to 3,978.98, 5,488.46 and 2,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.98 : 5,488.46 = 2,564.50 : x
2. Step 2: Convert to fraction form
   3,978.98/5,488.46 = 2,564.50/x
3. Step 3: Cross multiply
   3,978.98x = 5,488.46 × 2,564.50
4. Step 4: Simplify right side
   3,978.98x = 14,075,155.67
5. Step 5: Solve for x
   x = 14,075,155.67/3,978.98
6. Step 6: Final answer
   x = 3,537.38