Finding the Fourth Proportional to 9,191.16, 12,678.72 and 5,828.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.16 : 12,678.72 = 5,828.04 : x
2. Step 2: Convert to fraction form
   9,191.16/12,678.72 = 5,828.04/x
3. Step 3: Cross multiply
   9,191.16x = 12,678.72 × 5,828.04
4. Step 4: Simplify right side
   9,191.16x = 73,892,087.31
5. Step 5: Solve for x
   x = 73,892,087.31/9,191.16
6. Step 6: Final answer
   x = 8,039.47