Finding the Fourth Proportional to 2,133.10, 2,942.62 and 1,837.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133.10 : 2,942.62 = 1,837.86 : x
2. Step 2: Convert to fraction form
   2,133.10/2,942.62 = 1,837.86/x
3. Step 3: Cross multiply
   2,133.10x = 2,942.62 × 1,837.86
4. Step 4: Simplify right side
   2,133.10x = 5,408,123.59
5. Step 5: Solve for x
   x = 5,408,123.59/2,133.10
6. Step 6: Final answer
   x = 2,535.34