Finding the Fourth Proportional to 9,856.35, 14,780.34 and 5,409.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.35 : 14,780.34 = 5,409.45 : x
2. Step 2: Convert to fraction form
   9,856.35/14,780.34 = 5,409.45/x
3. Step 3: Cross multiply
   9,856.35x = 14,780.34 × 5,409.45
4. Step 4: Simplify right side
   9,856.35x = 79,953,510.21
5. Step 5: Solve for x
   x = 79,953,510.21/9,856.35
6. Step 6: Final answer
   x = 8,111.88