Finding the Fourth Proportional to 10,082.34, 13,895.55 and 7,730.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.34 : 13,895.55 = 7,730.10 : x
2. Step 2: Convert to fraction form
   10,082.34/13,895.55 = 7,730.10/x
3. Step 3: Cross multiply
   10,082.34x = 13,895.55 × 7,730.10
4. Step 4: Simplify right side
   10,082.34x = 107,413,991.06
5. Step 5: Solve for x
   x = 107,413,991.06/10,082.34
6. Step 6: Final answer
   x = 10,653.68