Finding the Fourth Proportional to 1,507.74, 2,260.62 and 727.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.74 : 2,260.62 = 727.98 : x
2. Step 2: Convert to fraction form
   1,507.74/2,260.62 = 727.98/x
3. Step 3: Cross multiply
   1,507.74x = 2,260.62 × 727.98
4. Step 4: Simplify right side
   1,507.74x = 1,645,686.15
5. Step 5: Solve for x
   x = 1,645,686.15/1,507.74
6. Step 6: Final answer
   x = 1,091.49