Finding the Fourth Proportional to 9,698.49, 13,383.87 and 5,666.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,698.49 : 13,383.87 = 5,666.10 : x
2. Step 2: Convert to fraction form
   9,698.49/13,383.87 = 5,666.10/x
3. Step 3: Cross multiply
   9,698.49x = 13,383.87 × 5,666.10
4. Step 4: Simplify right side
   9,698.49x = 75,834,345.81
5. Step 5: Solve for x
   x = 75,834,345.81/9,698.49
6. Step 6: Final answer
   x = 7,819.19