Finding the Fourth Proportional to 2,533.76, 3,496.83 and 1,538.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.76 : 3,496.83 = 1,538.81 : x
2. Step 2: Convert to fraction form
   2,533.76/3,496.83 = 1,538.81/x
3. Step 3: Cross multiply
   2,533.76x = 3,496.83 × 1,538.81
4. Step 4: Simplify right side
   2,533.76x = 5,380,956.97
5. Step 5: Solve for x
   x = 5,380,956.97/2,533.76
6. Step 6: Final answer
   x = 2,123.70