Finding the Fourth Proportional to 1,290.02, 1,780.05 and 730.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.02 : 1,780.05 = 730.52 : x
2. Step 2: Convert to fraction form
   1,290.02/1,780.05 = 730.52/x
3. Step 3: Cross multiply
   1,290.02x = 1,780.05 × 730.52
4. Step 4: Simplify right side
   1,290.02x = 1,300,353.23
5. Step 5: Solve for x
   x = 1,300,353.23/1,290.02
6. Step 6: Final answer
   x = 1,008.01