Finding the Fourth Proportional to 10,123.84, 13,971.12 and 5,647.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.84 : 13,971.12 = 5,647.96 : x
2. Step 2: Convert to fraction form
   10,123.84/13,971.12 = 5,647.96/x
3. Step 3: Cross multiply
   10,123.84x = 13,971.12 × 5,647.96
4. Step 4: Simplify right side
   10,123.84x = 78,908,326.92
5. Step 5: Solve for x
   x = 78,908,326.92/10,123.84
6. Step 6: Final answer
   x = 7,794.31