Finding the Fourth Proportional to 1,171.48, 1,616.58 and 647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.48 : 1,616.58 = 647.50 : x
2. Step 2: Convert to fraction form
   1,171.48/1,616.58 = 647.50/x
3. Step 3: Cross multiply
   1,171.48x = 1,616.58 × 647.50
4. Step 4: Simplify right side
   1,171.48x = 1,046,735.55
5. Step 5: Solve for x
   x = 1,046,735.55/1,171.48
6. Step 6: Final answer
   x = 893.52