Finding the Fourth Proportional to 7,825.64, 10,735.05 and 7,401.93

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.64 : 10,735.05 = 7,401.93 : x
2. Step 2: Convert to fraction form
   7,825.64/10,735.05 = 7,401.93/x
3. Step 3: Cross multiply
   7,825.64x = 10,735.05 × 7,401.93
4. Step 4: Simplify right side
   7,825.64x = 79,460,088.65
5. Step 5: Solve for x
   x = 79,460,088.65/7,825.64
6. Step 6: Final answer
   x = 10,153.82