Finding the Fourth Proportional to 2,546.64, 3,823.50 and 1,314.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.64 : 3,823.50 = 1,314.96 : x
2. Step 2: Convert to fraction form
   2,546.64/3,823.50 = 1,314.96/x
3. Step 3: Cross multiply
   2,546.64x = 3,823.50 × 1,314.96
4. Step 4: Simplify right side
   2,546.64x = 5,027,749.56
5. Step 5: Solve for x
   x = 5,027,749.56/2,546.64
6. Step 6: Final answer
   x = 1,974.27