Finding the Fourth Proportional to 1,826.14, 2,519.58 and 1,265.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.14 : 2,519.58 = 1,265.98 : x
2. Step 2: Convert to fraction form
   1,826.14/2,519.58 = 1,265.98/x
3. Step 3: Cross multiply
   1,826.14x = 2,519.58 × 1,265.98
4. Step 4: Simplify right side
   1,826.14x = 3,189,737.89
5. Step 5: Solve for x
   x = 3,189,737.89/1,826.14
6. Step 6: Final answer
   x = 1,746.71