Finding the Fourth Proportional to 2,537.46, 3,808.59 and 1,384.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.46 : 3,808.59 = 1,384.02 : x
2. Step 2: Convert to fraction form
   2,537.46/3,808.59 = 1,384.02/x
3. Step 3: Cross multiply
   2,537.46x = 3,808.59 × 1,384.02
4. Step 4: Simplify right side
   2,537.46x = 5,271,164.73
5. Step 5: Solve for x
   x = 5,271,164.73/2,537.46
6. Step 6: Final answer
   x = 2,077.34