Finding the Fourth Proportional to 1,384.83, 2,077.30 and 552.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.83 : 2,077.30 = 552.05 : x
2. Step 2: Convert to fraction form
   1,384.83/2,077.30 = 552.05/x
3. Step 3: Cross multiply
   1,384.83x = 2,077.30 × 552.05
4. Step 4: Simplify right side
   1,384.83x = 1,146,773.47
5. Step 5: Solve for x
   x = 1,146,773.47/1,384.83
6. Step 6: Final answer
   x = 828.10