Finding the Fourth Proportional to 2,585.34, 3,880.25 and 1,353.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.34 : 3,880.25 = 1,353.60 : x
2. Step 2: Convert to fraction form
   2,585.34/3,880.25 = 1,353.60/x
3. Step 3: Cross multiply
   2,585.34x = 3,880.25 × 1,353.60
4. Step 4: Simplify right side
   2,585.34x = 5,252,299.63
5. Step 5: Solve for x
   x = 5,252,299.63/2,585.34
6. Step 6: Final answer
   x = 2,031.57