Finding the Fourth Proportional to 1,045.34, 1,566.48 and 582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,045.34 : 1,566.48 = 582.56 : x
2. Step 2: Convert to fraction form
   1,045.34/1,566.48 = 582.56/x
3. Step 3: Cross multiply
   1,045.34x = 1,566.48 × 582.56
4. Step 4: Simplify right side
   1,045.34x = 912,568.59
5. Step 5: Solve for x
   x = 912,568.59/1,045.34
6. Step 6: Final answer
   x = 872.99