Finding the Fourth Proportional to 9,856.71, 13,602.06 and 5,380.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.71 : 13,602.06 = 5,380.45 : x
2. Step 2: Convert to fraction form
   9,856.71/13,602.06 = 5,380.45/x
3. Step 3: Cross multiply
   9,856.71x = 13,602.06 × 5,380.45
4. Step 4: Simplify right side
   9,856.71x = 73,185,169.72
5. Step 5: Solve for x
   x = 73,185,169.72/9,856.71
6. Step 6: Final answer
   x = 7,424.91