Finding the Fourth Proportional to 1,536.90, 2,307.89 and 1,039.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.90 : 2,307.89 = 1,039.77 : x
2. Step 2: Convert to fraction form
   1,536.90/2,307.89 = 1,039.77/x
3. Step 3: Cross multiply
   1,536.90x = 2,307.89 × 1,039.77
4. Step 4: Simplify right side
   1,536.90x = 2,399,669.59
5. Step 5: Solve for x
   x = 2,399,669.59/1,536.90
6. Step 6: Final answer
   x = 1,561.37