Finding the Fourth Proportional to 1,265.10, 1,746.27 and 1,092.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.10 : 1,746.27 = 1,092.30 : x
2. Step 2: Convert to fraction form
   1,265.10/1,746.27 = 1,092.30/x
3. Step 3: Cross multiply
   1,265.10x = 1,746.27 × 1,092.30
4. Step 4: Simplify right side
   1,265.10x = 1,907,450.72
5. Step 5: Solve for x
   x = 1,907,450.72/1,265.10
6. Step 6: Final answer
   x = 1,507.75