Finding the Fourth Proportional to 1,094.98, 1,511.05 and 597.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.98 : 1,511.05 = 597.61 : x
2. Step 2: Convert to fraction form
   1,094.98/1,511.05 = 597.61/x
3. Step 3: Cross multiply
   1,094.98x = 1,511.05 × 597.61
4. Step 4: Simplify right side
   1,094.98x = 903,018.59
5. Step 5: Solve for x
   x = 903,018.59/1,094.98
6. Step 6: Final answer
   x = 824.69