Finding the Fourth Proportional to 9,194.50, 12,688.41 and 5,002.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,194.50 : 12,688.41 = 5,002.78 : x
2. Step 2: Convert to fraction form
   9,194.50/12,688.41 = 5,002.78/x
3. Step 3: Cross multiply
   9,194.50x = 12,688.41 × 5,002.78
4. Step 4: Simplify right side
   9,194.50x = 63,477,323.78
5. Step 5: Solve for x
   x = 63,477,323.78/9,194.50
6. Step 6: Final answer
   x = 6,903.84