Finding the Fourth Proportional to 1,468.64, 2,026.76 and 805.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.64 : 2,026.76 = 805.46 : x
2. Step 2: Convert to fraction form
   1,468.64/2,026.76 = 805.46/x
3. Step 3: Cross multiply
   1,468.64x = 2,026.76 × 805.46
4. Step 4: Simplify right side
   1,468.64x = 1,632,459.95
5. Step 5: Solve for x
   x = 1,632,459.95/1,468.64
6. Step 6: Final answer
   x = 1,111.54