Finding the Fourth Proportional to 9,823.32, 13,553.46 and 5,630.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.32 : 13,553.46 = 5,630.76 : x
2. Step 2: Convert to fraction form
   9,823.32/13,553.46 = 5,630.76/x
3. Step 3: Cross multiply
   9,823.32x = 13,553.46 × 5,630.76
4. Step 4: Simplify right side
   9,823.32x = 76,316,280.43
5. Step 5: Solve for x
   x = 76,316,280.43/9,823.32
6. Step 6: Final answer
   x = 7,768.89