Finding the Fourth Proportional to 1,536.06, 2,300.97 and 1,300.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.06 : 2,300.97 = 1,300.77 : x
2. Step 2: Convert to fraction form
   1,536.06/2,300.97 = 1,300.77/x
3. Step 3: Cross multiply
   1,536.06x = 2,300.97 × 1,300.77
4. Step 4: Simplify right side
   1,536.06x = 2,993,032.75
5. Step 5: Solve for x
   x = 2,993,032.75/1,536.06
6. Step 6: Final answer
   x = 1,948.51