Finding the Fourth Proportional to 1,094.52, 1,642.20 and 546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.52 : 1,642.20 = 546.72 : x
2. Step 2: Convert to fraction form
   1,094.52/1,642.20 = 546.72/x
3. Step 3: Cross multiply
   1,094.52x = 1,642.20 × 546.72
4. Step 4: Simplify right side
   1,094.52x = 897,823.58
5. Step 5: Solve for x
   x = 897,823.58/1,094.52
6. Step 6: Final answer
   x = 820.29