Finding the Fourth Proportional to 1,460.76, 2,015.71 and 797.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.76 : 2,015.71 = 797.57 : x
2. Step 2: Convert to fraction form
   1,460.76/2,015.71 = 797.57/x
3. Step 3: Cross multiply
   1,460.76x = 2,015.71 × 797.57
4. Step 4: Simplify right side
   1,460.76x = 1,607,669.82
5. Step 5: Solve for x
   x = 1,607,669.82/1,460.76
6. Step 6: Final answer
   x = 1,100.57