Finding the Fourth Proportional to 10,113.90, 13,956.72 and 5,638.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.90 : 13,956.72 = 5,638.14 : x
2. Step 2: Convert to fraction form
   10,113.90/13,956.72 = 5,638.14/x
3. Step 3: Cross multiply
   10,113.90x = 13,956.72 × 5,638.14
4. Step 4: Simplify right side
   10,113.90x = 78,689,941.30
5. Step 5: Solve for x
   x = 78,689,941.30/10,113.90
6. Step 6: Final answer
   x = 7,780.38