Finding the Fourth Proportional to 9,878.04, 13,633.38 and 5,688.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.04 : 13,633.38 = 5,688.72 : x
2. Step 2: Convert to fraction form
   9,878.04/13,633.38 = 5,688.72/x
3. Step 3: Cross multiply
   9,878.04x = 13,633.38 × 5,688.72
4. Step 4: Simplify right side
   9,878.04x = 77,556,481.47
5. Step 5: Solve for x
   x = 77,556,481.47/9,878.04
6. Step 6: Final answer
   x = 7,851.40