Finding the Fourth Proportional to 9,414.77, 12,991.79 and 5,382.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.77 : 12,991.79 = 5,382.01 : x
2. Step 2: Convert to fraction form
   9,414.77/12,991.79 = 5,382.01/x
3. Step 3: Cross multiply
   9,414.77x = 12,991.79 × 5,382.01
4. Step 4: Simplify right side
   9,414.77x = 69,921,973.39
5. Step 5: Solve for x
   x = 69,921,973.39/9,414.77
6. Step 6: Final answer
   x = 7,426.84