Finding the Fourth Proportional to 9,633.74, 13,296.78 and 5,656.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.74 : 13,296.78 = 5,656.14 : x
2. Step 2: Convert to fraction form
   9,633.74/13,296.78 = 5,656.14/x
3. Step 3: Cross multiply
   9,633.74x = 13,296.78 × 5,656.14
4. Step 4: Simplify right side
   9,633.74x = 75,208,449.23
5. Step 5: Solve for x
   x = 75,208,449.23/9,633.74
6. Step 6: Final answer
   x = 7,806.78