Finding the Fourth Proportional to 2,781.12, 3,837.60 and 1,538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781.12 : 3,837.60 = 1,538.88 : x
2. Step 2: Convert to fraction form
   2,781.12/3,837.60 = 1,538.88/x
3. Step 3: Cross multiply
   2,781.12x = 3,837.60 × 1,538.88
4. Step 4: Simplify right side
   2,781.12x = 5,905,605.89
5. Step 5: Solve for x
   x = 5,905,605.89/2,781.12
6. Step 6: Final answer
   x = 2,123.46