Finding the Fourth Proportional to 11,837.34, 16,339.14 and 7,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,837.34 : 16,339.14 = 7,645.50 : x
2. Step 2: Convert to fraction form
   11,837.34/16,339.14 = 7,645.50/x
3. Step 3: Cross multiply
   11,837.34x = 16,339.14 × 7,645.50
4. Step 4: Simplify right side
   11,837.34x = 124,920,894.87
5. Step 5: Solve for x
   x = 124,920,894.87/11,837.34
6. Step 6: Final answer
   x = 10,553.12