Finding the Fourth Proportional to 1,456.34, 2,009.76 and 793.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.34 : 2,009.76 = 793.20 : x
2. Step 2: Convert to fraction form
   1,456.34/2,009.76 = 793.20/x
3. Step 3: Cross multiply
   1,456.34x = 2,009.76 × 793.20
4. Step 4: Simplify right side
   1,456.34x = 1,594,141.63
5. Step 5: Solve for x
   x = 1,594,141.63/1,456.34
6. Step 6: Final answer
   x = 1,094.63