Finding the Fourth Proportional to 8,705.64, 13,025.94 and 5,182.80

Step by Step Solution

1. Step 1: Write the proportion equation
   8,705.64 : 13,025.94 = 5,182.80 : x
2. Step 2: Convert to fraction form
   8,705.64/13,025.94 = 5,182.80/x
3. Step 3: Cross multiply
   8,705.64x = 13,025.94 × 5,182.80
4. Step 4: Simplify right side
   8,705.64x = 67,510,841.83
5. Step 5: Solve for x
   x = 67,510,841.83/8,705.64
6. Step 6: Final answer
   x = 7,754.84