Finding the Fourth Proportional to 1,008.96, 1,392.46 and 566.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.96 : 1,392.46 = 566.84 : x
2. Step 2: Convert to fraction form
   1,008.96/1,392.46 = 566.84/x
3. Step 3: Cross multiply
   1,008.96x = 1,392.46 × 566.84
4. Step 4: Simplify right side
   1,008.96x = 789,302.03
5. Step 5: Solve for x
   x = 789,302.03/1,008.96
6. Step 6: Final answer
   x = 782.29