Finding the Fourth Proportional to 2,123.13, 3,178.50 and 1,577.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.13 : 3,178.50 = 1,577.73 : x
2. Step 2: Convert to fraction form
   2,123.13/3,178.50 = 1,577.73/x
3. Step 3: Cross multiply
   2,123.13x = 3,178.50 × 1,577.73
4. Step 4: Simplify right side
   2,123.13x = 5,014,814.81
5. Step 5: Solve for x
   x = 5,014,814.81/2,123.13
6. Step 6: Final answer
   x = 2,361.99