Finding the Fourth Proportional to 1,094.82, 1,641.62 and 364.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.82 : 1,641.62 = 364.01 : x
2. Step 2: Convert to fraction form
   1,094.82/1,641.62 = 364.01/x
3. Step 3: Cross multiply
   1,094.82x = 1,641.62 × 364.01
4. Step 4: Simplify right side
   1,094.82x = 597,556.07
5. Step 5: Solve for x
   x = 597,556.07/1,094.82
6. Step 6: Final answer
   x = 545.80