Finding the Fourth Proportional to 1,030.34, 1,421.89 and 564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.34 : 1,421.89 = 564.59 : x
2. Step 2: Convert to fraction form
   1,030.34/1,421.89 = 564.59/x
3. Step 3: Cross multiply
   1,030.34x = 1,421.89 × 564.59
4. Step 4: Simplify right side
   1,030.34x = 802,784.88
5. Step 5: Solve for x
   x = 802,784.88/1,030.34
6. Step 6: Final answer
   x = 779.15