Finding the Fourth Proportional to 1,094.99, 1,641.60 and 546.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.99 : 1,641.60 = 546.89 : x
2. Step 2: Convert to fraction form
   1,094.99/1,641.60 = 546.89/x
3. Step 3: Cross multiply
   1,094.99x = 1,641.60 × 546.89
4. Step 4: Simplify right side
   1,094.99x = 897,766.42
5. Step 5: Solve for x
   x = 897,766.42/1,094.99
6. Step 6: Final answer
   x = 819.89