Finding the Fourth Proportional to 2,564.82, 3,538.34 and 1,619.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.82 : 3,538.34 = 1,619.88 : x
2. Step 2: Convert to fraction form
   2,564.82/3,538.34 = 1,619.88/x
3. Step 3: Cross multiply
   2,564.82x = 3,538.34 × 1,619.88
4. Step 4: Simplify right side
   2,564.82x = 5,731,686.20
5. Step 5: Solve for x
   x = 5,731,686.20/2,564.82
6. Step 6: Final answer
   x = 2,234.73