Finding the Fourth Proportional to 1,697.10, 2,546.49 and 820.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,697.10 : 2,546.49 = 820.34 : x
2. Step 2: Convert to fraction form
   1,697.10/2,546.49 = 820.34/x
3. Step 3: Cross multiply
   1,697.10x = 2,546.49 × 820.34
4. Step 4: Simplify right side
   1,697.10x = 2,088,987.61
5. Step 5: Solve for x
   x = 2,088,987.61/1,697.10
6. Step 6: Final answer
   x = 1,230.92