Finding the Fourth Proportional to 785.27, 1,083.77 and 435.98

Step by Step Solution

1. Step 1: Write the proportion equation
   785.27 : 1,083.77 = 435.98 : x
2. Step 2: Convert to fraction form
   785.27/1,083.77 = 435.98/x
3. Step 3: Cross multiply
   785.27x = 1,083.77 × 435.98
4. Step 4: Simplify right side
   785.27x = 472,499.86
5. Step 5: Solve for x
   x = 472,499.86/785.27
6. Step 6: Final answer
   x = 601.70