Finding the Fourth Proportional to 2,102.30, 2,901.46 and 1,206.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.30 : 2,901.46 = 1,206.40 : x
2. Step 2: Convert to fraction form
   2,102.30/2,901.46 = 1,206.40/x
3. Step 3: Cross multiply
   2,102.30x = 2,901.46 × 1,206.40
4. Step 4: Simplify right side
   2,102.30x = 3,500,321.34
5. Step 5: Solve for x
   x = 3,500,321.34/2,102.30
6. Step 6: Final answer
   x = 1,665.00