Finding the Fourth Proportional to 10,465.74, 14,428.50 and 7,902.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.74 : 14,428.50 = 7,902.30 : x
2. Step 2: Convert to fraction form
   10,465.74/14,428.50 = 7,902.30/x
3. Step 3: Cross multiply
   10,465.74x = 14,428.50 × 7,902.30
4. Step 4: Simplify right side
   10,465.74x = 114,018,335.55
5. Step 5: Solve for x
   x = 114,018,335.55/10,465.74
6. Step 6: Final answer
   x = 10,894.44