Finding the Fourth Proportional to 10,188.84, 14,047.59 and 6,826.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188.84 : 14,047.59 = 6,826.33 : x
2. Step 2: Convert to fraction form
   10,188.84/14,047.59 = 6,826.33/x
3. Step 3: Cross multiply
   10,188.84x = 14,047.59 × 6,826.33
4. Step 4: Simplify right side
   10,188.84x = 95,893,485.04
5. Step 5: Solve for x
   x = 95,893,485.04/10,188.84
6. Step 6: Final answer
   x = 9,411.62