Finding the Fourth Proportional to 1,547.84, 2,322.05 and 816.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,547.84 : 2,322.05 = 816.72 : x
2. Step 2: Convert to fraction form
   1,547.84/2,322.05 = 816.72/x
3. Step 3: Cross multiply
   1,547.84x = 2,322.05 × 816.72
4. Step 4: Simplify right side
   1,547.84x = 1,896,460.59
5. Step 5: Solve for x
   x = 1,896,460.59/1,547.84
6. Step 6: Final answer
   x = 1,225.23