Finding the Fourth Proportional to 9,633.90, 13,296.24 and 5,656.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.90 : 13,296.24 = 5,656.80 : x
2. Step 2: Convert to fraction form
   9,633.90/13,296.24 = 5,656.80/x
3. Step 3: Cross multiply
   9,633.90x = 13,296.24 × 5,656.80
4. Step 4: Simplify right side
   9,633.90x = 75,214,170.43
5. Step 5: Solve for x
   x = 75,214,170.43/9,633.90
6. Step 6: Final answer
   x = 7,807.24