Finding the Fourth Proportional to 1,159.86, 1,740.18 and 429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.86 : 1,740.18 = 429.50 : x
2. Step 2: Convert to fraction form
   1,159.86/1,740.18 = 429.50/x
3. Step 3: Cross multiply
   1,159.86x = 1,740.18 × 429.50
4. Step 4: Simplify right side
   1,159.86x = 747,398.61
5. Step 5: Solve for x
   x = 747,398.61/1,159.86
6. Step 6: Final answer
   x = 644.39