Finding the Fourth Proportional to 17,784.64, 24,543.02 and 9,826.79

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.64 : 24,543.02 = 9,826.79 : x
2. Step 2: Convert to fraction form
   17,784.64/24,543.02 = 9,826.79/x
3. Step 3: Cross multiply
   17,784.64x = 24,543.02 × 9,826.79
4. Step 4: Simplify right side
   17,784.64x = 241,179,103.51
5. Step 5: Solve for x
   x = 241,179,103.51/17,784.64
6. Step 6: Final answer
   x = 13,561.09