Finding the Fourth Proportional to 1,460.02, 2,189.34 and 535.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.02 : 2,189.34 = 535.33 : x
2. Step 2: Convert to fraction form
   1,460.02/2,189.34 = 535.33/x
3. Step 3: Cross multiply
   1,460.02x = 2,189.34 × 535.33
4. Step 4: Simplify right side
   1,460.02x = 1,172,019.38
5. Step 5: Solve for x
   x = 1,172,019.38/1,460.02
6. Step 6: Final answer
   x = 802.74