Finding the Fourth Proportional to 1,642.56, 2,268.36 and 1,538.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.56 : 2,268.36 = 1,538.04 : x
2. Step 2: Convert to fraction form
   1,642.56/2,268.36 = 1,538.04/x
3. Step 3: Cross multiply
   1,642.56x = 2,268.36 × 1,538.04
4. Step 4: Simplify right side
   1,642.56x = 3,488,828.41
5. Step 5: Solve for x
   x = 3,488,828.41/1,642.56
6. Step 6: Final answer
   x = 2,124.02