Finding the Fourth Proportional to 2,611.96, 3,604.38 and 1,564.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.96 : 3,604.38 = 1,564.12 : x
2. Step 2: Convert to fraction form
   2,611.96/3,604.38 = 1,564.12/x
3. Step 3: Cross multiply
   2,611.96x = 3,604.38 × 1,564.12
4. Step 4: Simplify right side
   2,611.96x = 5,637,682.85
5. Step 5: Solve for x
   x = 5,637,682.85/2,611.96
6. Step 6: Final answer
   x = 2,158.41