Finding the Fourth Proportional to 1,019.59, 1,407.03 and 553.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.59 : 1,407.03 = 553.84 : x
2. Step 2: Convert to fraction form
   1,019.59/1,407.03 = 553.84/x
3. Step 3: Cross multiply
   1,019.59x = 1,407.03 × 553.84
4. Step 4: Simplify right side
   1,019.59x = 779,269.50
5. Step 5: Solve for x
   x = 779,269.50/1,019.59
6. Step 6: Final answer
   x = 764.30