Finding the Fourth Proportional to 7,828.69, 11,734.52 and 3,666.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.69 : 11,734.52 = 3,666.10 : x
2. Step 2: Convert to fraction form
   7,828.69/11,734.52 = 3,666.10/x
3. Step 3: Cross multiply
   7,828.69x = 11,734.52 × 3,666.10
4. Step 4: Simplify right side
   7,828.69x = 43,019,865.10
5. Step 5: Solve for x
   x = 43,019,865.10/7,828.69
6. Step 6: Final answer
   x = 5,495.16