Finding the Fourth Proportional to 1,464.77, 2,196.72 and 797.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.77 : 2,196.72 = 797.57 : x
2. Step 2: Convert to fraction form
   1,464.77/2,196.72 = 797.57/x
3. Step 3: Cross multiply
   1,464.77x = 2,196.72 × 797.57
4. Step 4: Simplify right side
   1,464.77x = 1,752,026.99
5. Step 5: Solve for x
   x = 1,752,026.99/1,464.77
6. Step 6: Final answer
   x = 1,196.11