Finding the Fourth Proportional to 10,229.10, 15,341.43 and 3,655.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229.10 : 15,341.43 = 3,655.74 : x
2. Step 2: Convert to fraction form
   10,229.10/15,341.43 = 3,655.74/x
3. Step 3: Cross multiply
   10,229.10x = 15,341.43 × 3,655.74
4. Step 4: Simplify right side
   10,229.10x = 56,084,279.31
5. Step 5: Solve for x
   x = 56,084,279.31/10,229.10
6. Step 6: Final answer
   x = 5,482.82