Finding the Fourth Proportional to 2,565.95, 3,848.61 and 1,007.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.95 : 3,848.61 = 1,007.10 : x
2. Step 2: Convert to fraction form
   2,565.95/3,848.61 = 1,007.10/x
3. Step 3: Cross multiply
   2,565.95x = 3,848.61 × 1,007.10
4. Step 4: Simplify right side
   2,565.95x = 3,875,938.91
5. Step 5: Solve for x
   x = 3,875,938.91/2,565.95
6. Step 6: Final answer
   x = 1,510.53