Finding the Fourth Proportional to 1,094.68, 1,510.63 and 597.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.68 : 1,510.63 = 597.31 : x
2. Step 2: Convert to fraction form
   1,094.68/1,510.63 = 597.31/x
3. Step 3: Cross multiply
   1,094.68x = 1,510.63 × 597.31
4. Step 4: Simplify right side
   1,094.68x = 902,314.41
5. Step 5: Solve for x
   x = 902,314.41/1,094.68
6. Step 6: Final answer
   x = 824.27