Finding the Fourth Proportional to 1,141.59, 1,575.40 and 617.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.59 : 1,575.40 = 617.63 : x
2. Step 2: Convert to fraction form
   1,141.59/1,575.40 = 617.63/x
3. Step 3: Cross multiply
   1,141.59x = 1,575.40 × 617.63
4. Step 4: Simplify right side
   1,141.59x = 973,006.04
5. Step 5: Solve for x
   x = 973,006.04/1,141.59
6. Step 6: Final answer
   x = 852.32