Finding the Fourth Proportional to 1,525.61, 2,286.29 and 1,216.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.61 : 2,286.29 = 1,216.10 : x
2. Step 2: Convert to fraction form
   1,525.61/2,286.29 = 1,216.10/x
3. Step 3: Cross multiply
   1,525.61x = 2,286.29 × 1,216.10
4. Step 4: Simplify right side
   1,525.61x = 2,780,339.76
5. Step 5: Solve for x
   x = 2,780,339.76/1,525.61
6. Step 6: Final answer
   x = 1,822.45