Finding the Fourth Proportional to 1,329.34, 1,993.93 and 507.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,329.34 : 1,993.93 = 507.69 : x
2. Step 2: Convert to fraction form
   1,329.34/1,993.93 = 507.69/x
3. Step 3: Cross multiply
   1,329.34x = 1,993.93 × 507.69
4. Step 4: Simplify right side
   1,329.34x = 1,012,298.32
5. Step 5: Solve for x
   x = 1,012,298.32/1,329.34
6. Step 6: Final answer
   x = 761.50