Finding the Fourth Proportional to 1,782.16, 2,456.91 and 1,536.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.16 : 2,456.91 = 1,536.10 : x
2. Step 2: Convert to fraction form
   1,782.16/2,456.91 = 1,536.10/x
3. Step 3: Cross multiply
   1,782.16x = 2,456.91 × 1,536.10
4. Step 4: Simplify right side
   1,782.16x = 3,774,059.45
5. Step 5: Solve for x
   x = 3,774,059.45/1,782.16
6. Step 6: Final answer
   x = 2,117.69