Finding the Fourth Proportional to 17,533.92, 24,199.10 and 9,978.78

Step by Step Solution

1. Step 1: Write the proportion equation
   17,533.92 : 24,199.10 = 9,978.78 : x
2. Step 2: Convert to fraction form
   17,533.92/24,199.10 = 9,978.78/x
3. Step 3: Cross multiply
   17,533.92x = 24,199.10 × 9,978.78
4. Step 4: Simplify right side
   17,533.92x = 241,477,495.10
5. Step 5: Solve for x
   x = 241,477,495.10/17,533.92
6. Step 6: Final answer
   x = 13,772.02