Finding the Fourth Proportional to 10,490.27, 14,476.86 and 5,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.27 : 14,476.86 = 5,710.50 : x
2. Step 2: Convert to fraction form
   10,490.27/14,476.86 = 5,710.50/x
3. Step 3: Cross multiply
   10,490.27x = 14,476.86 × 5,710.50
4. Step 4: Simplify right side
   10,490.27x = 82,670,109.03
5. Step 5: Solve for x
   x = 82,670,109.03/10,490.27
6. Step 6: Final answer
   x = 7,880.65