Finding the Fourth Proportional to 2,780.52, 3,837.20 and 1,538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.52 : 3,837.20 = 1,538.52 : x
2. Step 2: Convert to fraction form
   2,780.52/3,837.20 = 1,538.52/x
3. Step 3: Cross multiply
   2,780.52x = 3,837.20 × 1,538.52
4. Step 4: Simplify right side
   2,780.52x = 5,903,608.94
5. Step 5: Solve for x
   x = 5,903,608.94/2,780.52
6. Step 6: Final answer
   x = 2,123.20