Finding the Fourth Proportional to 7,824.90, 10,734.06 and 7,401.18

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.90 : 10,734.06 = 7,401.18 : x
2. Step 2: Convert to fraction form
   7,824.90/10,734.06 = 7,401.18/x
3. Step 3: Cross multiply
   7,824.90x = 10,734.06 × 7,401.18
4. Step 4: Simplify right side
   7,824.90x = 79,444,710.19
5. Step 5: Solve for x
   x = 79,444,710.19/7,824.90
6. Step 6: Final answer
   x = 10,152.81