Finding the Fourth Proportional to 2,531.40, 3,792.42 and 2,123.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.40 : 3,792.42 = 2,123.16 : x
2. Step 2: Convert to fraction form
   2,531.40/3,792.42 = 2,123.16/x
3. Step 3: Cross multiply
   2,531.40x = 3,792.42 × 2,123.16
4. Step 4: Simplify right side
   2,531.40x = 8,051,914.45
5. Step 5: Solve for x
   x = 8,051,914.45/2,531.40
6. Step 6: Final answer
   x = 3,180.81