Finding the Fourth Proportional to 17,878.16, 24,667.80 and 10,426.16

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878.16 : 24,667.80 = 10,426.16 : x
2. Step 2: Convert to fraction form
   17,878.16/24,667.80 = 10,426.16/x
3. Step 3: Cross multiply
   17,878.16x = 24,667.80 × 10,426.16
4. Step 4: Simplify right side
   17,878.16x = 257,190,429.65
5. Step 5: Solve for x
   x = 257,190,429.65/17,878.16
6. Step 6: Final answer
   x = 14,385.73