Finding the Fourth Proportional to 2,123, 3,178.32 and 1,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123 : 3,178.32 = 1,577.60 : x
2. Step 2: Convert to fraction form
   2,123/3,178.32 = 1,577.60/x
3. Step 3: Cross multiply
   2,123x = 3,178.32 × 1,577.60
4. Step 4: Simplify right side
   2,123x = 5,014,117.63
5. Step 5: Solve for x
   x = 5,014,117.63/2,123
6. Step 6: Final answer
   x = 2,361.81