Finding the Fourth Proportional to 1,066.50, 1,471.80 and 600.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.50 : 1,471.80 = 600.78 : x
2. Step 2: Convert to fraction form
   1,066.50/1,471.80 = 600.78/x
3. Step 3: Cross multiply
   1,066.50x = 1,471.80 × 600.78
4. Step 4: Simplify right side
   1,066.50x = 884,228.00
5. Step 5: Solve for x
   x = 884,228.00/1,066.50
6. Step 6: Final answer
   x = 829.09