Finding the Fourth Proportional to 2,542.16, 3,506.37 and 1,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.16 : 3,506.37 = 1,547.50 : x
2. Step 2: Convert to fraction form
   2,542.16/3,506.37 = 1,547.50/x
3. Step 3: Cross multiply
   2,542.16x = 3,506.37 × 1,547.50
4. Step 4: Simplify right side
   2,542.16x = 5,426,111.62
5. Step 5: Solve for x
   x = 5,426,111.62/2,542.16
6. Step 6: Final answer
   x = 2,134.45