Finding the Fourth Proportional to 2,570.31, 3,846.59 and 1,582.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.31 : 3,846.59 = 1,582.74 : x
2. Step 2: Convert to fraction form
   2,570.31/3,846.59 = 1,582.74/x
3. Step 3: Cross multiply
   2,570.31x = 3,846.59 × 1,582.74
4. Step 4: Simplify right side
   2,570.31x = 6,088,143.94
5. Step 5: Solve for x
   x = 6,088,143.94/2,570.31
6. Step 6: Final answer
   x = 2,368.64