Finding the Fourth Proportional to 5,461.98, 7,533.27 and 3,784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,461.98 : 7,533.27 = 3,784.02 : x
2. Step 2: Convert to fraction form
   5,461.98/7,533.27 = 3,784.02/x
3. Step 3: Cross multiply
   5,461.98x = 7,533.27 × 3,784.02
4. Step 4: Simplify right side
   5,461.98x = 28,506,044.35
5. Step 5: Solve for x
   x = 28,506,044.35/5,461.98
6. Step 6: Final answer
   x = 5,218.99