Finding the Fourth Proportional to 1,642.27, 2,462.82 and 546.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.27 : 2,462.82 = 546.34 : x
2. Step 2: Convert to fraction form
   1,642.27/2,462.82 = 546.34/x
3. Step 3: Cross multiply
   1,642.27x = 2,462.82 × 546.34
4. Step 4: Simplify right side
   1,642.27x = 1,345,534.35
5. Step 5: Solve for x
   x = 1,345,534.35/1,642.27
6. Step 6: Final answer
   x = 819.31