Finding the Fourth Proportional to 10,499.10, 15,740.82 and 4,574.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.10 : 15,740.82 = 4,574.86 : x
2. Step 2: Convert to fraction form
   10,499.10/15,740.82 = 4,574.86/x
3. Step 3: Cross multiply
   10,499.10x = 15,740.82 × 4,574.86
4. Step 4: Simplify right side
   10,499.10x = 72,012,047.79
5. Step 5: Solve for x
   x = 72,012,047.79/10,499.10
6. Step 6: Final answer
   x = 6,858.88