Finding the Fourth Proportional to 2,322.50, 3,483.92 and 762.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.50 : 3,483.92 = 762.10 : x
2. Step 2: Convert to fraction form
   2,322.50/3,483.92 = 762.10/x
3. Step 3: Cross multiply
   2,322.50x = 3,483.92 × 762.10
4. Step 4: Simplify right side
   2,322.50x = 2,655,095.43
5. Step 5: Solve for x
   x = 2,655,095.43/2,322.50
6. Step 6: Final answer
   x = 1,143.21