Finding the Fourth Proportional to 10,585.82, 14,608.50 and 6,109.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.82 : 14,608.50 = 6,109.76 : x
2. Step 2: Convert to fraction form
   10,585.82/14,608.50 = 6,109.76/x
3. Step 3: Cross multiply
   10,585.82x = 14,608.50 × 6,109.76
4. Step 4: Simplify right side
   10,585.82x = 89,254,428.96
5. Step 5: Solve for x
   x = 89,254,428.96/10,585.82
6. Step 6: Final answer
   x = 8,431.51