Finding the Fourth Proportional to 1,171.64, 1,616.88 and 647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.64 : 1,616.88 = 647.69 : x
2. Step 2: Convert to fraction form
   1,171.64/1,616.88 = 647.69/x
3. Step 3: Cross multiply
   1,171.64x = 1,616.88 × 647.69
4. Step 4: Simplify right side
   1,171.64x = 1,047,228.92
5. Step 5: Solve for x
   x = 1,047,228.92/1,171.64
6. Step 6: Final answer
   x = 893.82