Finding the Fourth Proportional to 1,460.59, 2,015.64 and 797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.59 : 2,015.64 = 797.50 : x
2. Step 2: Convert to fraction form
   1,460.59/2,015.64 = 797.50/x
3. Step 3: Cross multiply
   1,460.59x = 2,015.64 × 797.50
4. Step 4: Simplify right side
   1,460.59x = 1,607,467.86
5. Step 5: Solve for x
   x = 1,607,467.86/1,460.59
6. Step 6: Final answer
   x = 1,100.56