Finding the Fourth Proportional to 9,782.70, 13,499.23 and 5,534.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.70 : 13,499.23 = 5,534.15 : x
2. Step 2: Convert to fraction form
   9,782.70/13,499.23 = 5,534.15/x
3. Step 3: Cross multiply
   9,782.70x = 13,499.23 × 5,534.15
4. Step 4: Simplify right side
   9,782.70x = 74,706,746.28
5. Step 5: Solve for x
   x = 74,706,746.28/9,782.70
6. Step 6: Final answer
   x = 7,636.62