Finding the Fourth Proportional to 1,159.96, 1,600.72 and 635.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.96 : 1,600.72 = 635.98 : x
2. Step 2: Convert to fraction form
   1,159.96/1,600.72 = 635.98/x
3. Step 3: Cross multiply
   1,159.96x = 1,600.72 × 635.98
4. Step 4: Simplify right side
   1,159.96x = 1,018,025.91
5. Step 5: Solve for x
   x = 1,018,025.91/1,159.96
6. Step 6: Final answer
   x = 877.64