Finding the Fourth Proportional to 2,546.10, 3,821.72 and 1,507.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.10 : 3,821.72 = 1,507.14 : x
2. Step 2: Convert to fraction form
   2,546.10/3,821.72 = 1,507.14/x
3. Step 3: Cross multiply
   2,546.10x = 3,821.72 × 1,507.14
4. Step 4: Simplify right side
   2,546.10x = 5,759,859.55
5. Step 5: Solve for x
   x = 5,759,859.55/2,546.10
6. Step 6: Final answer
   x = 2,262.23