Finding the Fourth Proportional to 10,502.10, 14,492.96 and 5,786.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.10 : 14,492.96 = 5,786.42 : x
2. Step 2: Convert to fraction form
   10,502.10/14,492.96 = 5,786.42/x
3. Step 3: Cross multiply
   10,502.10x = 14,492.96 × 5,786.42
4. Step 4: Simplify right side
   10,502.10x = 83,862,353.60
5. Step 5: Solve for x
   x = 83,862,353.60/10,502.10
6. Step 6: Final answer
   x = 7,985.29