Finding the Fourth Proportional to 1,159.84, 1,600.53 and 635.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.84 : 1,600.53 = 635.89 : x
2. Step 2: Convert to fraction form
   1,159.84/1,600.53 = 635.89/x
3. Step 3: Cross multiply
   1,159.84x = 1,600.53 × 635.89
4. Step 4: Simplify right side
   1,159.84x = 1,017,761.02
5. Step 5: Solve for x
   x = 1,017,761.02/1,159.84
6. Step 6: Final answer
   x = 877.50