Finding the Fourth Proportional to 1,030.47, 1,422.09 and 564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.47 : 1,422.09 = 564.72 : x
2. Step 2: Convert to fraction form
   1,030.47/1,422.09 = 564.72/x
3. Step 3: Cross multiply
   1,030.47x = 1,422.09 × 564.72
4. Step 4: Simplify right side
   1,030.47x = 803,082.66
5. Step 5: Solve for x
   x = 803,082.66/1,030.47
6. Step 6: Final answer
   x = 779.34