Finding the Fourth Proportional to 1,136.62, 1,705.46 and 588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,136.62 : 1,705.46 = 588.50 : x
2. Step 2: Convert to fraction form
   1,136.62/1,705.46 = 588.50/x
3. Step 3: Cross multiply
   1,136.62x = 1,705.46 × 588.50
4. Step 4: Simplify right side
   1,136.62x = 1,003,672.69
5. Step 5: Solve for x
   x = 1,003,672.69/1,136.62
6. Step 6: Final answer
   x = 883.03