Finding the Fourth Proportional to 1,838.52, 2,538.30 and 1,278.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.52 : 2,538.30 = 1,278.80 : x
2. Step 2: Convert to fraction form
   1,838.52/2,538.30 = 1,278.80/x
3. Step 3: Cross multiply
   1,838.52x = 2,538.30 × 1,278.80
4. Step 4: Simplify right side
   1,838.52x = 3,245,978.04
5. Step 5: Solve for x
   x = 3,245,978.04/1,838.52
6. Step 6: Final answer
   x = 1,765.54