Finding the Fourth Proportional to 9,824.68, 14,742.78 and 5,929.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.68 : 14,742.78 = 5,929.48 : x
2. Step 2: Convert to fraction form
   9,824.68/14,742.78 = 5,929.48/x
3. Step 3: Cross multiply
   9,824.68x = 14,742.78 × 5,929.48
4. Step 4: Simplify right side
   9,824.68x = 87,417,019.15
5. Step 5: Solve for x
   x = 87,417,019.15/9,824.68
6. Step 6: Final answer
   x = 8,897.70