Finding the Fourth Proportional to 10,498.32, 15,714.90 and 7,850.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.32 : 15,714.90 = 7,850.21 : x
2. Step 2: Convert to fraction form
   10,498.32/15,714.90 = 7,850.21/x
3. Step 3: Cross multiply
   10,498.32x = 15,714.90 × 7,850.21
4. Step 4: Simplify right side
   10,498.32x = 123,365,186.55
5. Step 5: Solve for x
   x = 123,365,186.55/10,498.32
6. Step 6: Final answer
   x = 11,750.95