Finding the Fourth Proportional to 2,561.30, 3,842.01 and 917.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.30 : 3,842.01 = 917.96 : x
2. Step 2: Convert to fraction form
   2,561.30/3,842.01 = 917.96/x
3. Step 3: Cross multiply
   2,561.30x = 3,842.01 × 917.96
4. Step 4: Simplify right side
   2,561.30x = 3,526,811.50
5. Step 5: Solve for x
   x = 3,526,811.50/2,561.30
6. Step 6: Final answer
   x = 1,376.96