Finding the Fourth Proportional to 1,641.59, 2,462.56 and 546.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.59 : 2,462.56 = 546.06 : x
2. Step 2: Convert to fraction form
   1,641.59/2,462.56 = 546.06/x
3. Step 3: Cross multiply
   1,641.59x = 2,462.56 × 546.06
4. Step 4: Simplify right side
   1,641.59x = 1,344,705.51
5. Step 5: Solve for x
   x = 1,344,705.51/1,641.59
6. Step 6: Final answer
   x = 819.15