Finding the Fourth Proportional to 10,501.38, 14,511.18 and 7,842.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.38 : 14,511.18 = 7,842.96 : x
2. Step 2: Convert to fraction form
   10,501.38/14,511.18 = 7,842.96/x
3. Step 3: Cross multiply
   10,501.38x = 14,511.18 × 7,842.96
4. Step 4: Simplify right side
   10,501.38x = 113,810,604.29
5. Step 5: Solve for x
   x = 113,810,604.29/10,501.38
6. Step 6: Final answer
   x = 10,837.68