Finding the Fourth Proportional to 10,123.39, 13,970.93 and 5,647.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.39 : 13,970.93 = 5,647.82 : x
2. Step 2: Convert to fraction form
   10,123.39/13,970.93 = 5,647.82/x
3. Step 3: Cross multiply
   10,123.39x = 13,970.93 × 5,647.82
4. Step 4: Simplify right side
   10,123.39x = 78,905,297.87
5. Step 5: Solve for x
   x = 78,905,297.87/10,123.39
6. Step 6: Final answer
   x = 7,794.36