Finding the Fourth Proportional to 1,853.86, 2,780.31 and 758.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.86 : 2,780.31 = 758.02 : x
2. Step 2: Convert to fraction form
   1,853.86/2,780.31 = 758.02/x
3. Step 3: Cross multiply
   1,853.86x = 2,780.31 × 758.02
4. Step 4: Simplify right side
   1,853.86x = 2,107,530.59
5. Step 5: Solve for x
   x = 2,107,530.59/1,853.86
6. Step 6: Final answer
   x = 1,136.83