Finding the Fourth Proportional to 1,516.42, 2,272.50 and 1,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.42 : 2,272.50 = 1,053.50 : x
2. Step 2: Convert to fraction form
   1,516.42/2,272.50 = 1,053.50/x
3. Step 3: Cross multiply
   1,516.42x = 2,272.50 × 1,053.50
4. Step 4: Simplify right side
   1,516.42x = 2,394,084.43
5. Step 5: Solve for x
   x = 2,394,084.43/1,516.42
6. Step 6: Final answer
   x = 1,578.78