Finding the Fourth Proportional to 10,502.42, 14,492.82 and 5,785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.42 : 14,492.82 = 5,785.82 : x
2. Step 2: Convert to fraction form
   10,502.42/14,492.82 = 5,785.82/x
3. Step 3: Cross multiply
   10,502.42x = 14,492.82 × 5,785.82
4. Step 4: Simplify right side
   10,502.42x = 83,852,847.81
5. Step 5: Solve for x
   x = 83,852,847.81/10,502.42
6. Step 6: Final answer
   x = 7,984.15