Finding the Fourth Proportional to 6,389.35, 8,816.34 and 3,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,389.35 : 8,816.34 = 3,663.50 : x
2. Step 2: Convert to fraction form
   6,389.35/8,816.34 = 3,663.50/x
3. Step 3: Cross multiply
   6,389.35x = 8,816.34 × 3,663.50
4. Step 4: Simplify right side
   6,389.35x = 32,298,599.19
5. Step 5: Solve for x
   x = 32,298,599.19/6,389.35
6. Step 6: Final answer
   x = 5,055.07