Finding the Fourth Proportional to 9,406.32, 12,981.24 and 5,630.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.32 : 12,981.24 = 5,630.64 : x
2. Step 2: Convert to fraction form
   9,406.32/12,981.24 = 5,630.64/x
3. Step 3: Cross multiply
   9,406.32x = 12,981.24 × 5,630.64
4. Step 4: Simplify right side
   9,406.32x = 73,092,689.19
5. Step 5: Solve for x
   x = 73,092,689.19/9,406.32
6. Step 6: Final answer
   x = 7,770.59