Finding the Fourth Proportional to 1,200.34, 1,799.15 and 582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.34 : 1,799.15 = 582.63 : x
2. Step 2: Convert to fraction form
   1,200.34/1,799.15 = 582.63/x
3. Step 3: Cross multiply
   1,200.34x = 1,799.15 × 582.63
4. Step 4: Simplify right side
   1,200.34x = 1,048,239.15
5. Step 5: Solve for x
   x = 1,048,239.15/1,200.34
6. Step 6: Final answer
   x = 873.28