Finding the Fourth Proportional to 12,883.86, 17,780.31 and 10,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,883.86 : 17,780.31 = 10,084.50 : x
2. Step 2: Convert to fraction form
   12,883.86/17,780.31 = 10,084.50/x
3. Step 3: Cross multiply
   12,883.86x = 17,780.31 × 10,084.50
4. Step 4: Simplify right side
   12,883.86x = 179,305,536.20
5. Step 5: Solve for x
   x = 179,305,536.20/12,883.86
6. Step 6: Final answer
   x = 13,917.07