Finding the Fourth Proportional to 11,300.31, 15,594.83 and 6,823.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300.31 : 15,594.83 = 6,823.20 : x
2. Step 2: Convert to fraction form
   11,300.31/15,594.83 = 6,823.20/x
3. Step 3: Cross multiply
   11,300.31x = 15,594.83 × 6,823.20
4. Step 4: Simplify right side
   11,300.31x = 106,406,609.94
5. Step 5: Solve for x
   x = 106,406,609.94/11,300.31
6. Step 6: Final answer
   x = 9,416.26