Finding the Fourth Proportional to 1,054.35, 1,578.78 and 565.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.35 : 1,578.78 = 565.01 : x
2. Step 2: Convert to fraction form
   1,054.35/1,578.78 = 565.01/x
3. Step 3: Cross multiply
   1,054.35x = 1,578.78 × 565.01
4. Step 4: Simplify right side
   1,054.35x = 892,018.59
5. Step 5: Solve for x
   x = 892,018.59/1,054.35
6. Step 6: Final answer
   x = 846.04