Finding the Fourth Proportional to 10,502.78, 14,494.17 and 5,787.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.78 : 14,494.17 = 5,787.23 : x
2. Step 2: Convert to fraction form
   10,502.78/14,494.17 = 5,787.23/x
3. Step 3: Cross multiply
   10,502.78x = 14,494.17 × 5,787.23
4. Step 4: Simplify right side
   10,502.78x = 83,881,095.45
5. Step 5: Solve for x
   x = 83,881,095.45/10,502.78
6. Step 6: Final answer
   x = 7,986.56