Finding the Fourth Proportional to 9,466.23, 14,213.16 and 7,833.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466.23 : 14,213.16 = 7,833.15 : x
2. Step 2: Convert to fraction form
   9,466.23/14,213.16 = 7,833.15/x
3. Step 3: Cross multiply
   9,466.23x = 14,213.16 × 7,833.15
4. Step 4: Simplify right side
   9,466.23x = 111,333,814.25
5. Step 5: Solve for x
   x = 111,333,814.25/9,466.23
6. Step 6: Final answer
   x = 11,761.16