Finding the Fourth Proportional to 2,583.60, 3,564.27 and 1,588.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.60 : 3,564.27 = 1,588.56 : x
2. Step 2: Convert to fraction form
   2,583.60/3,564.27 = 1,588.56/x
3. Step 3: Cross multiply
   2,583.60x = 3,564.27 × 1,588.56
4. Step 4: Simplify right side
   2,583.60x = 5,662,056.75
5. Step 5: Solve for x
   x = 5,662,056.75/2,583.60
6. Step 6: Final answer
   x = 2,191.54