Finding the Fourth Proportional to 10,499.19, 15,752.42 and 4,659.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.19 : 15,752.42 = 4,659.90 : x
2. Step 2: Convert to fraction form
   10,499.19/15,752.42 = 4,659.90/x
3. Step 3: Cross multiply
   10,499.19x = 15,752.42 × 4,659.90
4. Step 4: Simplify right side
   10,499.19x = 73,404,701.96
5. Step 5: Solve for x
   x = 73,404,701.96/10,499.19
6. Step 6: Final answer
   x = 6,991.46