Finding the Fourth Proportional to 2,533.88, 3,494.12 and 1,538.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.88 : 3,494.12 = 1,538.79 : x
2. Step 2: Convert to fraction form
   2,533.88/3,494.12 = 1,538.79/x
3. Step 3: Cross multiply
   2,533.88x = 3,494.12 × 1,538.79
4. Step 4: Simplify right side
   2,533.88x = 5,376,709.22
5. Step 5: Solve for x
   x = 5,376,709.22/2,533.88
6. Step 6: Final answer
   x = 2,121.93