Finding the Fourth Proportional to 7,774.42, 10,722.22 and 5,645.74

Step by Step Solution

1. Step 1: Write the proportion equation
   7,774.42 : 10,722.22 = 5,645.74 : x
2. Step 2: Convert to fraction form
   7,774.42/10,722.22 = 5,645.74/x
3. Step 3: Cross multiply
   7,774.42x = 10,722.22 × 5,645.74
4. Step 4: Simplify right side
   7,774.42x = 60,534,866.34
5. Step 5: Solve for x
   x = 60,534,866.34/7,774.42
6. Step 6: Final answer
   x = 7,786.42