Finding the Fourth Proportional to 7,002.60, 9,663.13 and 3,858.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.60 : 9,663.13 = 3,858.78 : x
2. Step 2: Convert to fraction form
   7,002.60/9,663.13 = 3,858.78/x
3. Step 3: Cross multiply
   7,002.60x = 9,663.13 × 3,858.78
4. Step 4: Simplify right side
   7,002.60x = 37,287,892.78
5. Step 5: Solve for x
   x = 37,287,892.78/7,002.60
6. Step 6: Final answer
   x = 5,324.86