Finding the Fourth Proportional to 12,782.34, 17,641.38 and 7,477.17

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.34 : 17,641.38 = 7,477.17 : x
2. Step 2: Convert to fraction form
   12,782.34/17,641.38 = 7,477.17/x
3. Step 3: Cross multiply
   12,782.34x = 17,641.38 × 7,477.17
4. Step 4: Simplify right side
   12,782.34x = 131,907,597.29
5. Step 5: Solve for x
   x = 131,907,597.29/12,782.34
6. Step 6: Final answer
   x = 10,319.52