Finding the Fourth Proportional to 9,856.67, 13,602.02 and 5,380.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.67 : 13,602.02 = 5,380.30 : x
2. Step 2: Convert to fraction form
   9,856.67/13,602.02 = 5,380.30/x
3. Step 3: Cross multiply
   9,856.67x = 13,602.02 × 5,380.30
4. Step 4: Simplify right side
   9,856.67x = 73,182,887.30
5. Step 5: Solve for x
   x = 73,182,887.30/9,856.67
6. Step 6: Final answer
   x = 7,424.71