Finding the Fourth Proportional to 9,699.08, 13,384.16 and 5,665.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,699.08 : 13,384.16 = 5,665.43 : x
2. Step 2: Convert to fraction form
   9,699.08/13,384.16 = 5,665.43/x
3. Step 3: Cross multiply
   9,699.08x = 13,384.16 × 5,665.43
4. Step 4: Simplify right side
   9,699.08x = 75,826,926.34
5. Step 5: Solve for x
   x = 75,826,926.34/9,699.08
6. Step 6: Final answer
   x = 7,817.95