Finding the Fourth Proportional to 9,378.07, 14,061.91 and 3,835.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.07 : 14,061.91 = 3,835.30 : x
2. Step 2: Convert to fraction form
   9,378.07/14,061.91 = 3,835.30/x
3. Step 3: Cross multiply
   9,378.07x = 14,061.91 × 3,835.30
4. Step 4: Simplify right side
   9,378.07x = 53,931,660.72
5. Step 5: Solve for x
   x = 53,931,660.72/9,378.07
6. Step 6: Final answer
   x = 5,750.83