Finding the Fourth Proportional to 3,846.31, 5,770.35 and 1,213.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.31 : 5,770.35 = 1,213.81 : x
2. Step 2: Convert to fraction form
   3,846.31/5,770.35 = 1,213.81/x
3. Step 3: Cross multiply
   3,846.31x = 5,770.35 × 1,213.81
4. Step 4: Simplify right side
   3,846.31x = 7,004,073.61
5. Step 5: Solve for x
   x = 7,004,073.61/3,846.31
6. Step 6: Final answer
   x = 1,820.99