Finding the Fourth Proportional to 1,029.34, 1,543.71 and 567.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.34 : 1,543.71 = 567.34 : x
2. Step 2: Convert to fraction form
   1,029.34/1,543.71 = 567.34/x
3. Step 3: Cross multiply
   1,029.34x = 1,543.71 × 567.34
4. Step 4: Simplify right side
   1,029.34x = 875,808.43
5. Step 5: Solve for x
   x = 875,808.43/1,029.34
6. Step 6: Final answer
   x = 850.84