Finding the Fourth Proportional to 1,265.98, 1,902.42 and 1,182.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.98 : 1,902.42 = 1,182.94 : x
2. Step 2: Convert to fraction form
   1,265.98/1,902.42 = 1,182.94/x
3. Step 3: Cross multiply
   1,265.98x = 1,902.42 × 1,182.94
4. Step 4: Simplify right side
   1,265.98x = 2,250,443.96
5. Step 5: Solve for x
   x = 2,250,443.96/1,265.98
6. Step 6: Final answer
   x = 1,777.63