Finding the Fourth Proportional to 2,846.38, 3,926.91 and 2,102.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846.38 : 3,926.91 = 2,102.12 : x
2. Step 2: Convert to fraction form
   2,846.38/3,926.91 = 2,102.12/x
3. Step 3: Cross multiply
   2,846.38x = 3,926.91 × 2,102.12
4. Step 4: Simplify right side
   2,846.38x = 8,254,836.05
5. Step 5: Solve for x
   x = 8,254,836.05/2,846.38
6. Step 6: Final answer
   x = 2,900.12