Finding the Fourth Proportional to 2,084.16, 2,877.50 and 1,338.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.16 : 2,877.50 = 1,338.42 : x
2. Step 2: Convert to fraction form
   2,084.16/2,877.50 = 1,338.42/x
3. Step 3: Cross multiply
   2,084.16x = 2,877.50 × 1,338.42
4. Step 4: Simplify right side
   2,084.16x = 3,851,303.55
5. Step 5: Solve for x
   x = 3,851,303.55/2,084.16
6. Step 6: Final answer
   x = 1,847.89