Finding the Fourth Proportional to 1,029.78, 1,421.01 and 581.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.78 : 1,421.01 = 581.72 : x
2. Step 2: Convert to fraction form
   1,029.78/1,421.01 = 581.72/x
3. Step 3: Cross multiply
   1,029.78x = 1,421.01 × 581.72
4. Step 4: Simplify right side
   1,029.78x = 826,622.83
5. Step 5: Solve for x
   x = 826,622.83/1,029.78
6. Step 6: Final answer
   x = 802.72