Finding the Fourth Proportional to 1,538.89, 2,118.77 and 1,342.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.89 : 2,118.77 = 1,342.33 : x
2. Step 2: Convert to fraction form
   1,538.89/2,118.77 = 1,342.33/x
3. Step 3: Cross multiply
   1,538.89x = 2,118.77 × 1,342.33
4. Step 4: Simplify right side
   1,538.89x = 2,844,088.53
5. Step 5: Solve for x
   x = 2,844,088.53/1,538.89
6. Step 6: Final answer
   x = 1,848.14