Finding the Fourth Proportional to 10,082.96, 13,914.32 and 5,606.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.96 : 13,914.32 = 5,606.16 : x
2. Step 2: Convert to fraction form
   10,082.96/13,914.32 = 5,606.16/x
3. Step 3: Cross multiply
   10,082.96x = 13,914.32 × 5,606.16
4. Step 4: Simplify right side
   10,082.96x = 78,005,904.21
5. Step 5: Solve for x
   x = 78,005,904.21/10,082.96
6. Step 6: Final answer
   x = 7,736.41