Finding the Fourth Proportional to 1,094.06, 1,509.83 and 596.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.06 : 1,509.83 = 596.72 : x
2. Step 2: Convert to fraction form
   1,094.06/1,509.83 = 596.72/x
3. Step 3: Cross multiply
   1,094.06x = 1,509.83 × 596.72
4. Step 4: Simplify right side
   1,094.06x = 900,948.79
5. Step 5: Solve for x
   x = 900,948.79/1,094.06
6. Step 6: Final answer
   x = 823.49