Finding the Fourth Proportional to 1,026.72, 1,415.34 and 804.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.72 : 1,415.34 = 804.96 : x
2. Step 2: Convert to fraction form
   1,026.72/1,415.34 = 804.96/x
3. Step 3: Cross multiply
   1,026.72x = 1,415.34 × 804.96
4. Step 4: Simplify right side
   1,026.72x = 1,139,292.09
5. Step 5: Solve for x
   x = 1,139,292.09/1,026.72
6. Step 6: Final answer
   x = 1,109.64