Finding the Fourth Proportional to 1,094.07, 1,509.79 and 596.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.07 : 1,509.79 = 596.72 : x
2. Step 2: Convert to fraction form
   1,094.07/1,509.79 = 596.72/x
3. Step 3: Cross multiply
   1,094.07x = 1,509.79 × 596.72
4. Step 4: Simplify right side
   1,094.07x = 900,921.89
5. Step 5: Solve for x
   x = 900,921.89/1,094.07
6. Step 6: Final answer
   x = 823.46