Finding the Fourth Proportional to 1,983.34, 2,972.58 and 1,405

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.34 : 2,972.58 = 1,405 : x
2. Step 2: Convert to fraction form
   1,983.34/2,972.58 = 1,405/x
3. Step 3: Cross multiply
   1,983.34x = 2,972.58 × 1,405
4. Step 4: Simplify right side
   1,983.34x = 4,176,474.90
5. Step 5: Solve for x
   x = 4,176,474.90/1,983.34
6. Step 6: Final answer
   x = 2,105.78