Finding the Fourth Proportional to 10,492.05, 14,478.48 and 5,775.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.05 : 14,478.48 = 5,775.42 : x
2. Step 2: Convert to fraction form
   10,492.05/14,478.48 = 5,775.42/x
3. Step 3: Cross multiply
   10,492.05x = 14,478.48 × 5,775.42
4. Step 4: Simplify right side
   10,492.05x = 83,619,302.96
5. Step 5: Solve for x
   x = 83,619,302.96/10,492.05
6. Step 6: Final answer
   x = 7,969.78