Finding the Fourth Proportional to 2,129.84, 2,938.16 and 1,834.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,129.84 : 2,938.16 = 1,834.59 : x
2. Step 2: Convert to fraction form
   2,129.84/2,938.16 = 1,834.59/x
3. Step 3: Cross multiply
   2,129.84x = 2,938.16 × 1,834.59
4. Step 4: Simplify right side
   2,129.84x = 5,390,309.78
5. Step 5: Solve for x
   x = 5,390,309.78/2,129.84
6. Step 6: Final answer
   x = 2,530.86