Finding the Fourth Proportional to 1,166.84, 1,611.78 and 871.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.84 : 1,611.78 = 871.60 : x
2. Step 2: Convert to fraction form
   1,166.84/1,611.78 = 871.60/x
3. Step 3: Cross multiply
   1,166.84x = 1,611.78 × 871.60
4. Step 4: Simplify right side
   1,166.84x = 1,404,820.15
5. Step 5: Solve for x
   x = 1,404,820.15/1,166.84
6. Step 6: Final answer
   x = 1,203.95