Finding the Fourth Proportional to 10,348.81, 14,281.29 and 5,633.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,348.81 : 14,281.29 = 5,633.17 : x
2. Step 2: Convert to fraction form
   10,348.81/14,281.29 = 5,633.17/x
3. Step 3: Cross multiply
   10,348.81x = 14,281.29 × 5,633.17
4. Step 4: Simplify right side
   10,348.81x = 80,448,934.39
5. Step 5: Solve for x
   x = 80,448,934.39/10,348.81
6. Step 6: Final answer
   x = 7,773.74