Finding the Fourth Proportional to 17,780.35, 24,536.53 and 9,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780.35 : 24,536.53 = 9,822.50 : x
2. Step 2: Convert to fraction form
   17,780.35/24,536.53 = 9,822.50/x
3. Step 3: Cross multiply
   17,780.35x = 24,536.53 × 9,822.50
4. Step 4: Simplify right side
   17,780.35x = 241,010,065.93
5. Step 5: Solve for x
   x = 241,010,065.93/17,780.35
6. Step 6: Final answer
   x = 13,554.85