Finding the Fourth Proportional to 3,830.69, 5,743.12 and 1,980.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.69 : 5,743.12 = 1,980.63 : x
2. Step 2: Convert to fraction form
   3,830.69/5,743.12 = 1,980.63/x
3. Step 3: Cross multiply
   3,830.69x = 5,743.12 × 1,980.63
4. Step 4: Simplify right side
   3,830.69x = 11,374,969.28
5. Step 5: Solve for x
   x = 11,374,969.28/3,830.69
6. Step 6: Final answer
   x = 2,969.43