Finding the Fourth Proportional to 2,534.91, 3,802.59 and 975.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.91 : 3,802.59 = 975.30 : x
2. Step 2: Convert to fraction form
   2,534.91/3,802.59 = 975.30/x
3. Step 3: Cross multiply
   2,534.91x = 3,802.59 × 975.30
4. Step 4: Simplify right side
   2,534.91x = 3,708,666.03
5. Step 5: Solve for x
   x = 3,708,666.03/2,534.91
6. Step 6: Final answer
   x = 1,463.04