Finding the Fourth Proportional to 9,783.06, 13,499.34 and 5,534.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.06 : 13,499.34 = 5,534.70 : x
2. Step 2: Convert to fraction form
   9,783.06/13,499.34 = 5,534.70/x
3. Step 3: Cross multiply
   9,783.06x = 13,499.34 × 5,534.70
4. Step 4: Simplify right side
   9,783.06x = 74,714,797.10
5. Step 5: Solve for x
   x = 74,714,797.10/9,783.06
6. Step 6: Final answer
   x = 7,637.16