Finding the Fourth Proportional to 9,886.27, 13,642.87 and 5,409.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.27 : 13,642.87 = 5,409.94 : x
2. Step 2: Convert to fraction form
   9,886.27/13,642.87 = 5,409.94/x
3. Step 3: Cross multiply
   9,886.27x = 13,642.87 × 5,409.94
4. Step 4: Simplify right side
   9,886.27x = 73,807,012.86
5. Step 5: Solve for x
   x = 73,807,012.86/9,886.27
6. Step 6: Final answer
   x = 7,465.61