Finding the Fourth Proportional to 7,002.56, 9,663.77 and 3,858.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.56 : 9,663.77 = 3,858.82 : x
2. Step 2: Convert to fraction form
   7,002.56/9,663.77 = 3,858.82/x
3. Step 3: Cross multiply
   7,002.56x = 9,663.77 × 3,858.82
4. Step 4: Simplify right side
   7,002.56x = 37,290,748.95
5. Step 5: Solve for x
   x = 37,290,748.95/7,002.56
6. Step 6: Final answer
   x = 5,325.30