Finding the Fourth Proportional to 9,719.82, 14,586.82 and 3,878.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,719.82 : 14,586.82 = 3,878.10 : x
2. Step 2: Convert to fraction form
   9,719.82/14,586.82 = 3,878.10/x
3. Step 3: Cross multiply
   9,719.82x = 14,586.82 × 3,878.10
4. Step 4: Simplify right side
   9,719.82x = 56,569,146.64
5. Step 5: Solve for x
   x = 56,569,146.64/9,719.82
6. Step 6: Final answer
   x = 5,819.98