Finding the Fourth Proportional to 1,093.72, 1,509.35 and 596.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.72 : 1,509.35 = 596.37 : x
2. Step 2: Convert to fraction form
   1,093.72/1,509.35 = 596.37/x
3. Step 3: Cross multiply
   1,093.72x = 1,509.35 × 596.37
4. Step 4: Simplify right side
   1,093.72x = 900,131.06
5. Step 5: Solve for x
   x = 900,131.06/1,093.72
6. Step 6: Final answer
   x = 823.00