Finding the Fourth Proportional to 1,538.52, 2,123.16 and 839.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.52 : 2,123.16 = 839.92 : x
2. Step 2: Convert to fraction form
   1,538.52/2,123.16 = 839.92/x
3. Step 3: Cross multiply
   1,538.52x = 2,123.16 × 839.92
4. Step 4: Simplify right side
   1,538.52x = 1,783,284.55
5. Step 5: Solve for x
   x = 1,783,284.55/1,538.52
6. Step 6: Final answer
   x = 1,159.09