Finding the Fourth Proportional to 10,696.68, 16,046.61 and 3,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696.68 : 16,046.61 = 3,678.50 : x
2. Step 2: Convert to fraction form
   10,696.68/16,046.61 = 3,678.50/x
3. Step 3: Cross multiply
   10,696.68x = 16,046.61 × 3,678.50
4. Step 4: Simplify right side
   10,696.68x = 59,027,495.00
5. Step 5: Solve for x
   x = 59,027,495.00/10,696.68
6. Step 6: Final answer
   x = 5,518.30