Finding the Fourth Proportional to 2,546.10, 3,819.87 and 1,507.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.10 : 3,819.87 = 1,507.02 : x
2. Step 2: Convert to fraction form
   2,546.10/3,819.87 = 1,507.02/x
3. Step 3: Cross multiply
   2,546.10x = 3,819.87 × 1,507.02
4. Step 4: Simplify right side
   2,546.10x = 5,756,620.49
5. Step 5: Solve for x
   x = 5,756,620.49/2,546.10
6. Step 6: Final answer
   x = 2,260.96