Finding the Fourth Proportional to 1,932.16, 2,896.32 and 1,238.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.16 : 2,896.32 = 1,238.40 : x
2. Step 2: Convert to fraction form
   1,932.16/2,896.32 = 1,238.40/x
3. Step 3: Cross multiply
   1,932.16x = 2,896.32 × 1,238.40
4. Step 4: Simplify right side
   1,932.16x = 3,586,802.69
5. Step 5: Solve for x
   x = 3,586,802.69/1,932.16
6. Step 6: Final answer
   x = 1,856.37