Finding the Fourth Proportional to 1,008.77, 1,392.05 and 566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.77 : 1,392.05 = 566.69 : x
2. Step 2: Convert to fraction form
   1,008.77/1,392.05 = 566.69/x
3. Step 3: Cross multiply
   1,008.77x = 1,392.05 × 566.69
4. Step 4: Simplify right side
   1,008.77x = 788,855.27
5. Step 5: Solve for x
   x = 788,855.27/1,008.77
6. Step 6: Final answer
   x = 782.00