Finding the Fourth Proportional to 9,742.82, 13,448.13 and 5,553.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.82 : 13,448.13 = 5,553.86 : x
2. Step 2: Convert to fraction form
   9,742.82/13,448.13 = 5,553.86/x
3. Step 3: Cross multiply
   9,742.82x = 13,448.13 × 5,553.86
4. Step 4: Simplify right side
   9,742.82x = 74,689,031.28
5. Step 5: Solve for x
   x = 74,689,031.28/9,742.82
6. Step 6: Final answer
   x = 7,666.06