Finding the Fourth Proportional to 9,406.68, 12,981.20 and 5,630.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.68 : 12,981.20 = 5,630.02 : x
2. Step 2: Convert to fraction form
   9,406.68/12,981.20 = 5,630.02/x
3. Step 3: Cross multiply
   9,406.68x = 12,981.20 × 5,630.02
4. Step 4: Simplify right side
   9,406.68x = 73,084,415.62
5. Step 5: Solve for x
   x = 73,084,415.62/9,406.68
6. Step 6: Final answer
   x = 7,769.42