Finding the Fourth Proportional to 2,780.58, 3,837.24 and 1,538.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.58 : 3,837.24 = 1,538.58 : x
2. Step 2: Convert to fraction form
   2,780.58/3,837.24 = 1,538.58/x
3. Step 3: Cross multiply
   2,780.58x = 3,837.24 × 1,538.58
4. Step 4: Simplify right side
   2,780.58x = 5,903,900.72
5. Step 5: Solve for x
   x = 5,903,900.72/2,780.58
6. Step 6: Final answer
   x = 2,123.26