Finding the Fourth Proportional to 9,863.78, 13,601.93 and 7,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,863.78 : 13,601.93 = 7,735.50 : x
2. Step 2: Convert to fraction form
   9,863.78/13,601.93 = 7,735.50/x
3. Step 3: Cross multiply
   9,863.78x = 13,601.93 × 7,735.50
4. Step 4: Simplify right side
   9,863.78x = 105,217,690.84
5. Step 5: Solve for x
   x = 105,217,690.84/9,863.78
6. Step 6: Final answer
   x = 10,667.08