Finding the Fourth Proportional to 9,878.82, 13,632.79 and 5,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.82 : 13,632.79 = 5,402.56 : x
2. Step 2: Convert to fraction form
   9,878.82/13,632.79 = 5,402.56/x
3. Step 3: Cross multiply
   9,878.82x = 13,632.79 × 5,402.56
4. Step 4: Simplify right side
   9,878.82x = 73,651,938.93
5. Step 5: Solve for x
   x = 73,651,938.93/9,878.82
6. Step 6: Final answer
   x = 7,455.54