Finding the Fourth Proportional to 1,094.00, 1,641.42 and 509.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.00 : 1,641.42 = 509.27 : x
2. Step 2: Convert to fraction form
   1,094.00/1,641.42 = 509.27/x
3. Step 3: Cross multiply
   1,094.00x = 1,641.42 × 509.27
4. Step 4: Simplify right side
   1,094.00x = 835,917.76
5. Step 5: Solve for x
   x = 835,917.76/1,094.00
6. Step 6: Final answer
   x = 764.10