Finding the Fourth Proportional to 1,147.98, 1,720.42 and 522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.98 : 1,720.42 = 522.50 : x
2. Step 2: Convert to fraction form
   1,147.98/1,720.42 = 522.50/x
3. Step 3: Cross multiply
   1,147.98x = 1,720.42 × 522.50
4. Step 4: Simplify right side
   1,147.98x = 898,919.45
5. Step 5: Solve for x
   x = 898,919.45/1,147.98
6. Step 6: Final answer
   x = 783.04