Finding the Fourth Proportional to 1,859.34, 2,564.82 and 1,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.34 : 2,564.82 = 1,159.50 : x
2. Step 2: Convert to fraction form
   1,859.34/2,564.82 = 1,159.50/x
3. Step 3: Cross multiply
   1,859.34x = 2,564.82 × 1,159.50
4. Step 4: Simplify right side
   1,859.34x = 2,973,908.79
5. Step 5: Solve for x
   x = 2,973,908.79/1,859.34
6. Step 6: Final answer
   x = 1,599.44