Finding the Fourth Proportional to 6,830.34, 10,245.48 and 3,077.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830.34 : 10,245.48 = 3,077.72 : x
2. Step 2: Convert to fraction form
   6,830.34/10,245.48 = 3,077.72/x
3. Step 3: Cross multiply
   6,830.34x = 10,245.48 × 3,077.72
4. Step 4: Simplify right side
   6,830.34x = 31,532,667.48
5. Step 5: Solve for x
   x = 31,532,667.48/6,830.34
6. Step 6: Final answer
   x = 4,616.56