Finding the Fourth Proportional to 9,884.16, 13,639.59 and 5,407.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.16 : 13,639.59 = 5,407.56 : x
2. Step 2: Convert to fraction form
   9,884.16/13,639.59 = 5,407.56/x
3. Step 3: Cross multiply
   9,884.16x = 13,639.59 × 5,407.56
4. Step 4: Simplify right side
   9,884.16x = 73,756,901.30
5. Step 5: Solve for x
   x = 73,756,901.30/9,884.16
6. Step 6: Final answer
   x = 7,462.13