Finding the Fourth Proportional to 1,012.64, 1,397.43 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.64 : 1,397.43 = 564.50 : x
2. Step 2: Convert to fraction form
   1,012.64/1,397.43 = 564.50/x
3. Step 3: Cross multiply
   1,012.64x = 1,397.43 × 564.50
4. Step 4: Simplify right side
   1,012.64x = 788,842.25
5. Step 5: Solve for x
   x = 788,842.25/1,012.64
6. Step 6: Final answer
   x = 779.00