Finding the Fourth Proportional to 14,854.81, 22,282.25 and 3,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,854.81 : 22,282.25 = 3,761.50 : x
2. Step 2: Convert to fraction form
   14,854.81/22,282.25 = 3,761.50/x
3. Step 3: Cross multiply
   14,854.81x = 22,282.25 × 3,761.50
4. Step 4: Simplify right side
   14,854.81x = 83,814,553.16
5. Step 5: Solve for x
   x = 83,814,553.16/14,854.81
6. Step 6: Final answer
   x = 5,642.25