Finding the Fourth Proportional to 10,118.84, 13,963.20 and 5,642.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.84 : 13,963.20 = 5,642.24 : x
2. Step 2: Convert to fraction form
   10,118.84/13,963.20 = 5,642.24/x
3. Step 3: Cross multiply
   10,118.84x = 13,963.20 × 5,642.24
4. Step 4: Simplify right side
   10,118.84x = 78,783,725.57
5. Step 5: Solve for x
   x = 78,783,725.57/10,118.84
6. Step 6: Final answer
   x = 7,785.85