Finding the Fourth Proportional to 1,301.89, 1,953.61 and 522.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.89 : 1,953.61 = 522.06 : x
2. Step 2: Convert to fraction form
   1,301.89/1,953.61 = 522.06/x
3. Step 3: Cross multiply
   1,301.89x = 1,953.61 × 522.06
4. Step 4: Simplify right side
   1,301.89x = 1,019,910.59
5. Step 5: Solve for x
   x = 1,019,910.59/1,301.89
6. Step 6: Final answer
   x = 783.41