Finding the Fourth Proportional to 1,065.56, 1,600.76 and 578.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.56 : 1,600.76 = 578.34 : x
2. Step 2: Convert to fraction form
   1,065.56/1,600.76 = 578.34/x
3. Step 3: Cross multiply
   1,065.56x = 1,600.76 × 578.34
4. Step 4: Simplify right side
   1,065.56x = 925,784.98
5. Step 5: Solve for x
   x = 925,784.98/1,065.56
6. Step 6: Final answer
   x = 868.83