Finding the Fourth Proportional to 10,024.79, 13,824.74 and 7,478.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.79 : 13,824.74 = 7,478.17 : x
2. Step 2: Convert to fraction form
   10,024.79/13,824.74 = 7,478.17/x
3. Step 3: Cross multiply
   10,024.79x = 13,824.74 × 7,478.17
4. Step 4: Simplify right side
   10,024.79x = 103,383,712.02
5. Step 5: Solve for x
   x = 103,383,712.02/10,024.79
6. Step 6: Final answer
   x = 10,312.81