Finding the Fourth Proportional to 1,301.63, 1,953.38 and 521.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.63 : 1,953.38 = 521.18 : x
2. Step 2: Convert to fraction form
   1,301.63/1,953.38 = 521.18/x
3. Step 3: Cross multiply
   1,301.63x = 1,953.38 × 521.18
4. Step 4: Simplify right side
   1,301.63x = 1,018,062.59
5. Step 5: Solve for x
   x = 1,018,062.59/1,301.63
6. Step 6: Final answer
   x = 782.14