Finding the Fourth Proportional to 1,171.30, 1,616.50 and 647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.30 : 1,616.50 = 647.50 : x
2. Step 2: Convert to fraction form
   1,171.30/1,616.50 = 647.50/x
3. Step 3: Cross multiply
   1,171.30x = 1,616.50 × 647.50
4. Step 4: Simplify right side
   1,171.30x = 1,046,683.75
5. Step 5: Solve for x
   x = 1,046,683.75/1,171.30
6. Step 6: Final answer
   x = 893.61