Finding the Fourth Proportional to 2,138.31, 3,208.53 and 1,200.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.31 : 3,208.53 = 1,200.67 : x
2. Step 2: Convert to fraction form
   2,138.31/3,208.53 = 1,200.67/x
3. Step 3: Cross multiply
   2,138.31x = 3,208.53 × 1,200.67
4. Step 4: Simplify right side
   2,138.31x = 3,852,386.72
5. Step 5: Solve for x
   x = 3,852,386.72/2,138.31
6. Step 6: Final answer
   x = 1,801.60