Finding the Fourth Proportional to 1,030.24, 1,421.76 and 564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.24 : 1,421.76 = 564.52 : x
2. Step 2: Convert to fraction form
   1,030.24/1,421.76 = 564.52/x
3. Step 3: Cross multiply
   1,030.24x = 1,421.76 × 564.52
4. Step 4: Simplify right side
   1,030.24x = 802,611.96
5. Step 5: Solve for x
   x = 802,611.96/1,030.24
6. Step 6: Final answer
   x = 779.05