Finding the Fourth Proportional to 10,465.90, 14,455.71 and 7,825.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.90 : 14,455.71 = 7,825.03 : x
2. Step 2: Convert to fraction form
   10,465.90/14,455.71 = 7,825.03/x
3. Step 3: Cross multiply
   10,465.90x = 14,455.71 × 7,825.03
4. Step 4: Simplify right side
   10,465.90x = 113,116,364.42
5. Step 5: Solve for x
   x = 113,116,364.42/10,465.90
6. Step 6: Final answer
   x = 10,808.09