Finding the Fourth Proportional to 1,002.01, 1,501.42 and 507.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.01 : 1,501.42 = 507.96 : x
2. Step 2: Convert to fraction form
   1,002.01/1,501.42 = 507.96/x
3. Step 3: Cross multiply
   1,002.01x = 1,501.42 × 507.96
4. Step 4: Simplify right side
   1,002.01x = 762,661.30
5. Step 5: Solve for x
   x = 762,661.30/1,002.01
6. Step 6: Final answer
   x = 761.13