Finding the Fourth Proportional to 1,047.34, 1,569.48 and 584.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.34 : 1,569.48 = 584.56 : x
2. Step 2: Convert to fraction form
   1,047.34/1,569.48 = 584.56/x
3. Step 3: Cross multiply
   1,047.34x = 1,569.48 × 584.56
4. Step 4: Simplify right side
   1,047.34x = 917,455.23
5. Step 5: Solve for x
   x = 917,455.23/1,047.34
6. Step 6: Final answer
   x = 875.99