Finding the Fourth Proportional to 1,137.42, 1,705.72 and 589.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.42 : 1,705.72 = 589.76 : x
2. Step 2: Convert to fraction form
   1,137.42/1,705.72 = 589.76/x
3. Step 3: Cross multiply
   1,137.42x = 1,705.72 × 589.76
4. Step 4: Simplify right side
   1,137.42x = 1,005,965.43
5. Step 5: Solve for x
   x = 1,005,965.43/1,137.42
6. Step 6: Final answer
   x = 884.43