Finding the Fourth Proportional to 2,084.71, 2,877.15 and 1,188.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.71 : 2,877.15 = 1,188.58 : x
2. Step 2: Convert to fraction form
   2,084.71/2,877.15 = 1,188.58/x
3. Step 3: Cross multiply
   2,084.71x = 2,877.15 × 1,188.58
4. Step 4: Simplify right side
   2,084.71x = 3,419,722.95
5. Step 5: Solve for x
   x = 3,419,722.95/2,084.71
6. Step 6: Final answer
   x = 1,640.38