Finding the Fourth Proportional to 2,562.30, 3,835.98 and 1,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.30 : 3,835.98 = 1,948.50 : x
2. Step 2: Convert to fraction form
   2,562.30/3,835.98 = 1,948.50/x
3. Step 3: Cross multiply
   2,562.30x = 3,835.98 × 1,948.50
4. Step 4: Simplify right side
   2,562.30x = 7,474,407.03
5. Step 5: Solve for x
   x = 7,474,407.03/2,562.30
6. Step 6: Final answer
   x = 2,917.07