Finding the Fourth Proportional to 2,401.53, 3,314.57 and 1,505.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.53 : 3,314.57 = 1,505.40 : x
2. Step 2: Convert to fraction form
   2,401.53/3,314.57 = 1,505.40/x
3. Step 3: Cross multiply
   2,401.53x = 3,314.57 × 1,505.40
4. Step 4: Simplify right side
   2,401.53x = 4,989,746.15
5. Step 5: Solve for x
   x = 4,989,746.15/2,401.53
6. Step 6: Final answer
   x = 2,077.74