Finding the Fourth Proportional to 5,496.63, 7,585.27 and 2,978.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,496.63 : 7,585.27 = 2,978.74 : x
2. Step 2: Convert to fraction form
   5,496.63/7,585.27 = 2,978.74/x
3. Step 3: Cross multiply
   5,496.63x = 7,585.27 × 2,978.74
4. Step 4: Simplify right side
   5,496.63x = 22,594,547.16
5. Step 5: Solve for x
   x = 22,594,547.16/5,496.63
6. Step 6: Final answer
   x = 4,110.62