Finding the Fourth Proportional to 1,290.82, 1,934.64 and 596.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.82 : 1,934.64 = 596.55 : x
2. Step 2: Convert to fraction form
   1,290.82/1,934.64 = 596.55/x
3. Step 3: Cross multiply
   1,290.82x = 1,934.64 × 596.55
4. Step 4: Simplify right side
   1,290.82x = 1,154,109.31
5. Step 5: Solve for x
   x = 1,154,109.31/1,290.82
6. Step 6: Final answer
   x = 894.09