Finding the Fourth Proportional to 1,009.10, 1,392.60 and 566.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.10 : 1,392.60 = 566.99 : x
2. Step 2: Convert to fraction form
   1,009.10/1,392.60 = 566.99/x
3. Step 3: Cross multiply
   1,009.10x = 1,392.60 × 566.99
4. Step 4: Simplify right side
   1,009.10x = 789,590.27
5. Step 5: Solve for x
   x = 789,590.27/1,009.10
6. Step 6: Final answer
   x = 782.47