Finding the Fourth Proportional to 2,569.34, 3,547.05 and 1,978.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.34 : 3,547.05 = 1,978.58 : x
2. Step 2: Convert to fraction form
   2,569.34/3,547.05 = 1,978.58/x
3. Step 3: Cross multiply
   2,569.34x = 3,547.05 × 1,978.58
4. Step 4: Simplify right side
   2,569.34x = 7,018,122.19
5. Step 5: Solve for x
   x = 7,018,122.19/2,569.34
6. Step 6: Final answer
   x = 2,731.49