Finding the Fourth Proportional to 3,427.82, 5,141.72 and 830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,427.82 : 5,141.72 = 830.75 : x
2. Step 2: Convert to fraction form
   3,427.82/5,141.72 = 830.75/x
3. Step 3: Cross multiply
   3,427.82x = 5,141.72 × 830.75
4. Step 4: Simplify right side
   3,427.82x = 4,271,483.89
5. Step 5: Solve for x
   x = 4,271,483.89/3,427.82
6. Step 6: Final answer
   x = 1,246.12