Finding the Fourth Proportional to 2,592.60, 3,836.02 and 2,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.60 : 3,836.02 = 2,585.31 : x
2. Step 2: Convert to fraction form
   2,592.60/3,836.02 = 2,585.31/x
3. Step 3: Cross multiply
   2,592.60x = 3,836.02 × 2,585.31
4. Step 4: Simplify right side
   2,592.60x = 9,917,300.87
5. Step 5: Solve for x
   x = 9,917,300.87/2,592.60
6. Step 6: Final answer
   x = 3,825.23