Finding the Fourth Proportional to 10,667.56, 14,717.36 and 6,188.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.56 : 14,717.36 = 6,188.84 : x
2. Step 2: Convert to fraction form
   10,667.56/14,717.36 = 6,188.84/x
3. Step 3: Cross multiply
   10,667.56x = 14,717.36 × 6,188.84
4. Step 4: Simplify right side
   10,667.56x = 91,083,386.26
5. Step 5: Solve for x
   x = 91,083,386.26/10,667.56
6. Step 6: Final answer
   x = 8,538.35