Finding the Fourth Proportional to 12,782.19, 19,166.79 and 5,850.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.19 : 19,166.79 = 5,850.75 : x
2. Step 2: Convert to fraction form
   12,782.19/19,166.79 = 5,850.75/x
3. Step 3: Cross multiply
   12,782.19x = 19,166.79 × 5,850.75
4. Step 4: Simplify right side
   12,782.19x = 112,140,096.59
5. Step 5: Solve for x
   x = 112,140,096.59/12,782.19
6. Step 6: Final answer
   x = 8,773.15