Finding the Fourth Proportional to 1,835.50, 2,533.24 and 1,275.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,835.50 : 2,533.24 = 1,275.64 : x
2. Step 2: Convert to fraction form
   1,835.50/2,533.24 = 1,275.64/x
3. Step 3: Cross multiply
   1,835.50x = 2,533.24 × 1,275.64
4. Step 4: Simplify right side
   1,835.50x = 3,231,502.27
5. Step 5: Solve for x
   x = 3,231,502.27/1,835.50
6. Step 6: Final answer
   x = 1,760.56