Finding the Fourth Proportional to 1,095.39, 1,511.59 and 598.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.39 : 1,511.59 = 598.02 : x
2. Step 2: Convert to fraction form
   1,095.39/1,511.59 = 598.02/x
3. Step 3: Cross multiply
   1,095.39x = 1,511.59 × 598.02
4. Step 4: Simplify right side
   1,095.39x = 903,961.05
5. Step 5: Solve for x
   x = 903,961.05/1,095.39
6. Step 6: Final answer
   x = 825.24