Finding the Fourth Proportional to 1,301.78, 1,952.33 and 521.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.78 : 1,952.33 = 521.51 : x
2. Step 2: Convert to fraction form
   1,301.78/1,952.33 = 521.51/x
3. Step 3: Cross multiply
   1,301.78x = 1,952.33 × 521.51
4. Step 4: Simplify right side
   1,301.78x = 1,018,147.25
5. Step 5: Solve for x
   x = 1,018,147.25/1,301.78
6. Step 6: Final answer
   x = 782.12