Finding the Fourth Proportional to 3,780.56, 5,667.24 and 1,830.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.56 : 5,667.24 = 1,830.08 : x
2. Step 2: Convert to fraction form
   3,780.56/5,667.24 = 1,830.08/x
3. Step 3: Cross multiply
   3,780.56x = 5,667.24 × 1,830.08
4. Step 4: Simplify right side
   3,780.56x = 10,371,502.58
5. Step 5: Solve for x
   x = 10,371,502.58/3,780.56
6. Step 6: Final answer
   x = 2,743.38