Finding the Fourth Proportional to 7,736.83, 10,685.62 and 5,214.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,736.83 : 10,685.62 = 5,214.59 : x
2. Step 2: Convert to fraction form
   7,736.83/10,685.62 = 5,214.59/x
3. Step 3: Cross multiply
   7,736.83x = 10,685.62 × 5,214.59
4. Step 4: Simplify right side
   7,736.83x = 55,721,180.46
5. Step 5: Solve for x
   x = 55,721,180.46/7,736.83
6. Step 6: Final answer
   x = 7,202.07