Finding the Fourth Proportional to 1,460.89, 2,016.00 and 797.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.89 : 2,016.00 = 797.72 : x
2. Step 2: Convert to fraction form
   1,460.89/2,016.00 = 797.72/x
3. Step 3: Cross multiply
   1,460.89x = 2,016.00 × 797.72
4. Step 4: Simplify right side
   1,460.89x = 1,608,199.53
5. Step 5: Solve for x
   x = 1,608,199.53/1,460.89
6. Step 6: Final answer
   x = 1,100.84