Finding the Fourth Proportional to 1,269.50, 1,893.42 and 1,075.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.50 : 1,893.42 = 1,075.77 : x
2. Step 2: Convert to fraction form
   1,269.50/1,893.42 = 1,075.77/x
3. Step 3: Cross multiply
   1,269.50x = 1,893.42 × 1,075.77
4. Step 4: Simplify right side
   1,269.50x = 2,036,884.43
5. Step 5: Solve for x
   x = 2,036,884.43/1,269.50
6. Step 6: Final answer
   x = 1,604.48