Finding the Fourth Proportional to 10,109.45, 13,951.01 and 5,633.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.45 : 13,951.01 = 5,633.16 : x
2. Step 2: Convert to fraction form
   10,109.45/13,951.01 = 5,633.16/x
3. Step 3: Cross multiply
   10,109.45x = 13,951.01 × 5,633.16
4. Step 4: Simplify right side
   10,109.45x = 78,588,295.89
5. Step 5: Solve for x
   x = 78,588,295.89/10,109.45
6. Step 6: Final answer
   x = 7,773.75