Finding the Fourth Proportional to 17,577.34, 24,256.64 and 9,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577.34 : 24,256.64 = 9,619.50 : x
2. Step 2: Convert to fraction form
   17,577.34/24,256.64 = 9,619.50/x
3. Step 3: Cross multiply
   17,577.34x = 24,256.64 × 9,619.50
4. Step 4: Simplify right side
   17,577.34x = 233,336,748.48
5. Step 5: Solve for x
   x = 233,336,748.48/17,577.34
6. Step 6: Final answer
   x = 13,274.86