Finding the Fourth Proportional to 10,429.98, 15,624.80 and 5,798.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.98 : 15,624.80 = 5,798.94 : x
2. Step 2: Convert to fraction form
   10,429.98/15,624.80 = 5,798.94/x
3. Step 3: Cross multiply
   10,429.98x = 15,624.80 × 5,798.94
4. Step 4: Simplify right side
   10,429.98x = 90,607,214.09
5. Step 5: Solve for x
   x = 90,607,214.09/10,429.98
6. Step 6: Final answer
   x = 8,687.19