Finding the Fourth Proportional to 1,171.50, 1,616.71 and 647.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.50 : 1,616.71 = 647.63 : x
2. Step 2: Convert to fraction form
   1,171.50/1,616.71 = 647.63/x
3. Step 3: Cross multiply
   1,171.50x = 1,616.71 × 647.63
4. Step 4: Simplify right side
   1,171.50x = 1,047,027.47
5. Step 5: Solve for x
   x = 1,047,027.47/1,171.50
6. Step 6: Final answer
   x = 893.75