Finding the Fourth Proportional to 9,536.74, 14,307.54 and 3,695.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536.74 : 14,307.54 = 3,695.02 : x
2. Step 2: Convert to fraction form
   9,536.74/14,307.54 = 3,695.02/x
3. Step 3: Cross multiply
   9,536.74x = 14,307.54 × 3,695.02
4. Step 4: Simplify right side
   9,536.74x = 52,866,646.45
5. Step 5: Solve for x
   x = 52,866,646.45/9,536.74
6. Step 6: Final answer
   x = 5,543.47