Finding the Fourth Proportional to 1,030.02, 1,421.45 and 564.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.02 : 1,421.45 = 564.27 : x
2. Step 2: Convert to fraction form
   1,030.02/1,421.45 = 564.27/x
3. Step 3: Cross multiply
   1,030.02x = 1,421.45 × 564.27
4. Step 4: Simplify right side
   1,030.02x = 802,081.59
5. Step 5: Solve for x
   x = 802,081.59/1,030.02
6. Step 6: Final answer
   x = 778.70