Finding the Fourth Proportional to 10,199.69, 15,295.86 and 3,534.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.69 : 15,295.86 = 3,534.38 : x
2. Step 2: Convert to fraction form
   10,199.69/15,295.86 = 3,534.38/x
3. Step 3: Cross multiply
   10,199.69x = 15,295.86 × 3,534.38
4. Step 4: Simplify right side
   10,199.69x = 54,061,381.67
5. Step 5: Solve for x
   x = 54,061,381.67/10,199.69
6. Step 6: Final answer
   x = 5,300.30