Finding the Fourth Proportional to 10,426.64, 14,388.75 and 5,710.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.64 : 14,388.75 = 5,710.91 : x
2. Step 2: Convert to fraction form
   10,426.64/14,388.75 = 5,710.91/x
3. Step 3: Cross multiply
   10,426.64x = 14,388.75 × 5,710.91
4. Step 4: Simplify right side
   10,426.64x = 82,172,856.26
5. Step 5: Solve for x
   x = 82,172,856.26/10,426.64
6. Step 6: Final answer
   x = 7,881.05