Finding the Fourth Proportional to 9,878.32, 13,632.10 and 5,402.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.32 : 13,632.10 = 5,402.09 : x
2. Step 2: Convert to fraction form
   9,878.32/13,632.10 = 5,402.09/x
3. Step 3: Cross multiply
   9,878.32x = 13,632.10 × 5,402.09
4. Step 4: Simplify right side
   9,878.32x = 73,641,831.09
5. Step 5: Solve for x
   x = 73,641,831.09/9,878.32
6. Step 6: Final answer
   x = 7,454.89