Finding the Fourth Proportional to 1,419.85, 2,131.77 and 727.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.85 : 2,131.77 = 727.00 : x
2. Step 2: Convert to fraction form
   1,419.85/2,131.77 = 727.00/x
3. Step 3: Cross multiply
   1,419.85x = 2,131.77 × 727.00
4. Step 4: Simplify right side
   1,419.85x = 1,549,787.83
5. Step 5: Solve for x
   x = 1,549,787.83/1,419.85
6. Step 6: Final answer
   x = 1,091.52