Finding the Fourth Proportional to 9,435.78, 13,021.83 and 5,659.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,435.78 : 13,021.83 = 5,659.16 : x
2. Step 2: Convert to fraction form
   9,435.78/13,021.83 = 5,659.16/x
3. Step 3: Cross multiply
   9,435.78x = 13,021.83 × 5,659.16
4. Step 4: Simplify right side
   9,435.78x = 73,692,554.35
5. Step 5: Solve for x
   x = 73,692,554.35/9,435.78
6. Step 6: Final answer
   x = 7,809.91