Finding the Fourth Proportional to 1,828.50, 2,737.86 and 1,415.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.50 : 2,737.86 = 1,415.40 : x
2. Step 2: Convert to fraction form
   1,828.50/2,737.86 = 1,415.40/x
3. Step 3: Cross multiply
   1,828.50x = 2,737.86 × 1,415.40
4. Step 4: Simplify right side
   1,828.50x = 3,875,167.04
5. Step 5: Solve for x
   x = 3,875,167.04/1,828.50
6. Step 6: Final answer
   x = 2,119.31