Finding the Fourth Proportional to 1,265.50, 1,897.89 and 535.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.50 : 1,897.89 = 535.06 : x
2. Step 2: Convert to fraction form
   1,265.50/1,897.89 = 535.06/x
3. Step 3: Cross multiply
   1,265.50x = 1,897.89 × 535.06
4. Step 4: Simplify right side
   1,265.50x = 1,015,485.02
5. Step 5: Solve for x
   x = 1,015,485.02/1,265.50
6. Step 6: Final answer
   x = 802.44