Finding the Fourth Proportional to 1,031.89, 1,424.01 and 566.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.89 : 1,424.01 = 566.14 : x
2. Step 2: Convert to fraction form
   1,031.89/1,424.01 = 566.14/x
3. Step 3: Cross multiply
   1,031.89x = 1,424.01 × 566.14
4. Step 4: Simplify right side
   1,031.89x = 806,189.02
5. Step 5: Solve for x
   x = 806,189.02/1,031.89
6. Step 6: Final answer
   x = 781.27