Finding the Fourth Proportional to 2,314.74, 3,464.82 and 1,585.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.74 : 3,464.82 = 1,585.74 : x
2. Step 2: Convert to fraction form
   2,314.74/3,464.82 = 1,585.74/x
3. Step 3: Cross multiply
   2,314.74x = 3,464.82 × 1,585.74
4. Step 4: Simplify right side
   2,314.74x = 5,494,303.67
5. Step 5: Solve for x
   x = 5,494,303.67/2,314.74
6. Step 6: Final answer
   x = 2,373.62