Finding the Fourth Proportional to 5,463.48, 7,543.06 and 3,784.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,463.48 : 7,543.06 = 3,784.29 : x
2. Step 2: Convert to fraction form
   5,463.48/7,543.06 = 3,784.29/x
3. Step 3: Cross multiply
   5,463.48x = 7,543.06 × 3,784.29
4. Step 4: Simplify right side
   5,463.48x = 28,545,088.78
5. Step 5: Solve for x
   x = 28,545,088.78/5,463.48
6. Step 6: Final answer
   x = 5,224.70