Finding the Fourth Proportional to 1,184.18, 1,776.51 and 362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.18 : 1,776.51 = 362.50 : x
2. Step 2: Convert to fraction form
   1,184.18/1,776.51 = 362.50/x
3. Step 3: Cross multiply
   1,184.18x = 1,776.51 × 362.50
4. Step 4: Simplify right side
   1,184.18x = 643,980.43
5. Step 5: Solve for x
   x = 643,980.43/1,184.18
6. Step 6: Final answer
   x = 543.82