Finding the Fourth Proportional to 9,642.16, 13,307.79 and 5,665.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.16 : 13,307.79 = 5,665.51 : x
2. Step 2: Convert to fraction form
   9,642.16/13,307.79 = 5,665.51/x
3. Step 3: Cross multiply
   9,642.16x = 13,307.79 × 5,665.51
4. Step 4: Simplify right side
   9,642.16x = 75,395,417.32
5. Step 5: Solve for x
   x = 75,395,417.32/9,642.16
6. Step 6: Final answer
   x = 7,819.35