Finding the Fourth Proportional to 2,562.42, 3,839.64 and 1,520.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.42 : 3,839.64 = 1,520.34 : x
2. Step 2: Convert to fraction form
   2,562.42/3,839.64 = 1,520.34/x
3. Step 3: Cross multiply
   2,562.42x = 3,839.64 × 1,520.34
4. Step 4: Simplify right side
   2,562.42x = 5,837,558.28
5. Step 5: Solve for x
   x = 5,837,558.28/2,562.42
6. Step 6: Final answer
   x = 2,278.14