Finding the Fourth Proportional to 10,102.33, 13,941.12 and 5,625.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.33 : 13,941.12 = 5,625.82 : x
2. Step 2: Convert to fraction form
   10,102.33/13,941.12 = 5,625.82/x
3. Step 3: Cross multiply
   10,102.33x = 13,941.12 × 5,625.82
4. Step 4: Simplify right side
   10,102.33x = 78,430,231.72
5. Step 5: Solve for x
   x = 78,430,231.72/10,102.33
6. Step 6: Final answer
   x = 7,763.58