Finding the Fourth Proportional to 9,824.32, 13,554.84 and 5,631.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.32 : 13,554.84 = 5,631.76 : x
2. Step 2: Convert to fraction form
   9,824.32/13,554.84 = 5,631.76/x
3. Step 3: Cross multiply
   9,824.32x = 13,554.84 × 5,631.76
4. Step 4: Simplify right side
   9,824.32x = 76,337,605.72
5. Step 5: Solve for x
   x = 76,337,605.72/9,824.32
6. Step 6: Final answer
   x = 7,770.27