Finding the Fourth Proportional to 10,490.25, 14,476.55 and 5,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.25 : 14,476.55 = 5,774.50 : x
2. Step 2: Convert to fraction form
   10,490.25/14,476.55 = 5,774.50/x
3. Step 3: Cross multiply
   10,490.25x = 14,476.55 × 5,774.50
4. Step 4: Simplify right side
   10,490.25x = 83,594,837.98
5. Step 5: Solve for x
   x = 83,594,837.98/10,490.25
6. Step 6: Final answer
   x = 7,968.81