Finding the Fourth Proportional to 1,030.50, 1,422.18 and 564.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.50 : 1,422.18 = 564.84 : x
2. Step 2: Convert to fraction form
   1,030.50/1,422.18 = 564.84/x
3. Step 3: Cross multiply
   1,030.50x = 1,422.18 × 564.84
4. Step 4: Simplify right side
   1,030.50x = 803,304.15
5. Step 5: Solve for x
   x = 803,304.15/1,030.50
6. Step 6: Final answer
   x = 779.53