Finding the Fourth Proportional to 11,784.52, 17,662.56 and 5,203.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.52 : 17,662.56 = 5,203.24 : x
2. Step 2: Convert to fraction form
   11,784.52/17,662.56 = 5,203.24/x
3. Step 3: Cross multiply
   11,784.52x = 17,662.56 × 5,203.24
4. Step 4: Simplify right side
   11,784.52x = 91,902,538.69
5. Step 5: Solve for x
   x = 91,902,538.69/11,784.52
6. Step 6: Final answer
   x = 7,798.58