Finding the Fourth Proportional to 2,535.79, 3,802.96 and 975.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.79 : 3,802.96 = 975.69 : x
2. Step 2: Convert to fraction form
   2,535.79/3,802.96 = 975.69/x
3. Step 3: Cross multiply
   2,535.79x = 3,802.96 × 975.69
4. Step 4: Simplify right side
   2,535.79x = 3,710,510.04
5. Step 5: Solve for x
   x = 3,710,510.04/2,535.79
6. Step 6: Final answer
   x = 1,463.26