Finding the Fourth Proportional to 1,094.89, 1,510.90 and 597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.89 : 1,510.90 = 597.50 : x
2. Step 2: Convert to fraction form
   1,094.89/1,510.90 = 597.50/x
3. Step 3: Cross multiply
   1,094.89x = 1,510.90 × 597.50
4. Step 4: Simplify right side
   1,094.89x = 902,765.03
5. Step 5: Solve for x
   x = 902,765.03/1,094.89
6. Step 6: Final answer
   x = 824.53