Finding the Fourth Proportional to 9,859.86, 13,606.20 and 5,667.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,859.86 : 13,606.20 = 5,667.84 : x
2. Step 2: Convert to fraction form
   9,859.86/13,606.20 = 5,667.84/x
3. Step 3: Cross multiply
   9,859.86x = 13,606.20 × 5,667.84
4. Step 4: Simplify right side
   9,859.86x = 77,117,764.61
5. Step 5: Solve for x
   x = 77,117,764.61/9,859.86
6. Step 6: Final answer
   x = 7,821.39