Finding the Fourth Proportional to 11,553.69, 15,946.56 and 7,302.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553.69 : 15,946.56 = 7,302.05 : x
2. Step 2: Convert to fraction form
   11,553.69/15,946.56 = 7,302.05/x
3. Step 3: Cross multiply
   11,553.69x = 15,946.56 × 7,302.05
4. Step 4: Simplify right side
   11,553.69x = 116,442,498.72
5. Step 5: Solve for x
   x = 116,442,498.72/11,553.69
6. Step 6: Final answer
   x = 10,078.38