Finding the Fourth Proportional to 2,611.60, 3,604.20 and 1,564.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.60 : 3,604.20 = 1,564.24 : x
2. Step 2: Convert to fraction form
   2,611.60/3,604.20 = 1,564.24/x
3. Step 3: Cross multiply
   2,611.60x = 3,604.20 × 1,564.24
4. Step 4: Simplify right side
   2,611.60x = 5,637,833.81
5. Step 5: Solve for x
   x = 5,637,833.81/2,611.60
6. Step 6: Final answer
   x = 2,158.77