Finding the Fourth Proportional to 9,407.68, 12,982.58 and 5,631.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,407.68 : 12,982.58 = 5,631.02 : x
2. Step 2: Convert to fraction form
   9,407.68/12,982.58 = 5,631.02/x
3. Step 3: Cross multiply
   9,407.68x = 12,982.58 × 5,631.02
4. Step 4: Simplify right side
   9,407.68x = 73,105,167.63
5. Step 5: Solve for x
   x = 73,105,167.63/9,407.68
6. Step 6: Final answer
   x = 7,770.80