Finding the Fourth Proportional to 647.89, 967.71 and 586.10

Step by Step Solution

1. Step 1: Write the proportion equation
   647.89 : 967.71 = 586.10 : x
2. Step 2: Convert to fraction form
   647.89/967.71 = 586.10/x
3. Step 3: Cross multiply
   647.89x = 967.71 × 586.10
4. Step 4: Simplify right side
   647.89x = 567,172.89
5. Step 5: Solve for x
   x = 567,172.89/647.89
6. Step 6: Final answer
   x = 875.41