Finding the Fourth Proportional to 2,546.42, 3,820.09 and 1,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.42 : 3,820.09 = 1,313.50 : x
2. Step 2: Convert to fraction form
   2,546.42/3,820.09 = 1,313.50/x
3. Step 3: Cross multiply
   2,546.42x = 3,820.09 × 1,313.50
4. Step 4: Simplify right side
   2,546.42x = 5,017,688.22
5. Step 5: Solve for x
   x = 5,017,688.22/2,546.42
6. Step 6: Final answer
   x = 1,970.49