Finding the Fourth Proportional to 7,906.78, 10,896.37 and 5,664.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,906.78 : 10,896.37 = 5,664.81 : x
2. Step 2: Convert to fraction form
   7,906.78/10,896.37 = 5,664.81/x
3. Step 3: Cross multiply
   7,906.78x = 10,896.37 × 5,664.81
4. Step 4: Simplify right side
   7,906.78x = 61,725,865.74
5. Step 5: Solve for x
   x = 61,725,865.74/7,906.78
6. Step 6: Final answer
   x = 7,806.70