Finding the Fourth Proportional to 1,538.92, 2,123.67 and 840.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.92 : 2,123.67 = 840.25 : x
2. Step 2: Convert to fraction form
   1,538.92/2,123.67 = 840.25/x
3. Step 3: Cross multiply
   1,538.92x = 2,123.67 × 840.25
4. Step 4: Simplify right side
   1,538.92x = 1,784,413.72
5. Step 5: Solve for x
   x = 1,784,413.72/1,538.92
6. Step 6: Final answer
   x = 1,159.52