Finding the Fourth Proportional to 2,547.40, 3,817.86 and 1,160.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547.40 : 3,817.86 = 1,160.32 : x
2. Step 2: Convert to fraction form
   2,547.40/3,817.86 = 1,160.32/x
3. Step 3: Cross multiply
   2,547.40x = 3,817.86 × 1,160.32
4. Step 4: Simplify right side
   2,547.40x = 4,429,939.32
5. Step 5: Solve for x
   x = 4,429,939.32/2,547.40
6. Step 6: Final answer
   x = 1,739.00