Finding the Fourth Proportional to 1,171.53, 1,616.76 and 647.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.53 : 1,616.76 = 647.60 : x
2. Step 2: Convert to fraction form
   1,171.53/1,616.76 = 647.60/x
3. Step 3: Cross multiply
   1,171.53x = 1,616.76 × 647.60
4. Step 4: Simplify right side
   1,171.53x = 1,047,005.69
5. Step 5: Solve for x
   x = 1,047,005.69/1,171.53
6. Step 6: Final answer
   x = 893.71