Finding the Fourth Proportional to 11,678.28, 16,116.32 and 7,205

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678.28 : 16,116.32 = 7,205 : x
2. Step 2: Convert to fraction form
   11,678.28/16,116.32 = 7,205/x
3. Step 3: Cross multiply
   11,678.28x = 16,116.32 × 7,205
4. Step 4: Simplify right side
   11,678.28x = 116,118,085.60
5. Step 5: Solve for x
   x = 116,118,085.60/11,678.28
6. Step 6: Final answer
   x = 9,943.08