Finding the Fourth Proportional to 2,683.84, 3,704.16 and 1,505.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.84 : 3,704.16 = 1,505.60 : x
2. Step 2: Convert to fraction form
   2,683.84/3,704.16 = 1,505.60/x
3. Step 3: Cross multiply
   2,683.84x = 3,704.16 × 1,505.60
4. Step 4: Simplify right side
   2,683.84x = 5,576,983.30
5. Step 5: Solve for x
   x = 5,576,983.30/2,683.84
6. Step 6: Final answer
   x = 2,077.99