Finding the Fourth Proportional to 1,786.16, 2,463.04 and 1,538.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.16 : 2,463.04 = 1,538.32 : x
2. Step 2: Convert to fraction form
   1,786.16/2,463.04 = 1,538.32/x
3. Step 3: Cross multiply
   1,786.16x = 2,463.04 × 1,538.32
4. Step 4: Simplify right side
   1,786.16x = 3,788,943.69
5. Step 5: Solve for x
   x = 3,788,943.69/1,786.16
6. Step 6: Final answer
   x = 2,121.28