Finding the Fourth Proportional to 1,094.05, 1,640.82 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.05 : 1,640.82 = 538.50 : x
2. Step 2: Convert to fraction form
   1,094.05/1,640.82 = 538.50/x
3. Step 3: Cross multiply
   1,094.05x = 1,640.82 × 538.50
4. Step 4: Simplify right side
   1,094.05x = 883,581.57
5. Step 5: Solve for x
   x = 883,581.57/1,094.05
6. Step 6: Final answer
   x = 807.62