Finding the Fourth Proportional to 10,106.42, 13,949.01 and 6,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.42 : 13,949.01 = 6,792.50 : x
2. Step 2: Convert to fraction form
   10,106.42/13,949.01 = 6,792.50/x
3. Step 3: Cross multiply
   10,106.42x = 13,949.01 × 6,792.50
4. Step 4: Simplify right side
   10,106.42x = 94,748,650.43
5. Step 5: Solve for x
   x = 94,748,650.43/10,106.42
6. Step 6: Final answer
   x = 9,375.10