Finding the Fourth Proportional to 10,598.01, 15,820.82 and 9,829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.01 : 15,820.82 = 9,829.05 : x
2. Step 2: Convert to fraction form
   10,598.01/15,820.82 = 9,829.05/x
3. Step 3: Cross multiply
   10,598.01x = 15,820.82 × 9,829.05
4. Step 4: Simplify right side
   10,598.01x = 155,503,630.82
5. Step 5: Solve for x
   x = 155,503,630.82/10,598.01
6. Step 6: Final answer
   x = 14,672.91