Finding the Fourth Proportional to 11,820.48, 16,307.04 and 7,842.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,820.48 : 16,307.04 = 7,842.24 : x
2. Step 2: Convert to fraction form
   11,820.48/16,307.04 = 7,842.24/x
3. Step 3: Cross multiply
   11,820.48x = 16,307.04 × 7,842.24
4. Step 4: Simplify right side
   11,820.48x = 127,883,721.37
5. Step 5: Solve for x
   x = 127,883,721.37/11,820.48
6. Step 6: Final answer
   x = 10,818.83