Finding the Fourth Proportional to 14,577.39, 21,860.71 and 5,214.87

Step by Step Solution

1. Step 1: Write the proportion equation
   14,577.39 : 21,860.71 = 5,214.87 : x
2. Step 2: Convert to fraction form
   14,577.39/21,860.71 = 5,214.87/x
3. Step 3: Cross multiply
   14,577.39x = 21,860.71 × 5,214.87
4. Step 4: Simplify right side
   14,577.39x = 114,000,760.76
5. Step 5: Solve for x
   x = 114,000,760.76/14,577.39
6. Step 6: Final answer
   x = 7,820.38