Finding the Fourth Proportional to 1,378.56, 2,065.41 and 727.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.56 : 2,065.41 = 727.86 : x
2. Step 2: Convert to fraction form
   1,378.56/2,065.41 = 727.86/x
3. Step 3: Cross multiply
   1,378.56x = 2,065.41 × 727.86
4. Step 4: Simplify right side
   1,378.56x = 1,503,329.32
5. Step 5: Solve for x
   x = 1,503,329.32/1,378.56
6. Step 6: Final answer
   x = 1,090.51