Finding the Fourth Proportional to 1,094.61, 1,510.61 and 597.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.61 : 1,510.61 = 597.23 : x
2. Step 2: Convert to fraction form
   1,094.61/1,510.61 = 597.23/x
3. Step 3: Cross multiply
   1,094.61x = 1,510.61 × 597.23
4. Step 4: Simplify right side
   1,094.61x = 902,181.61
5. Step 5: Solve for x
   x = 902,181.61/1,094.61
6. Step 6: Final answer
   x = 824.20