Finding the Fourth Proportional to 9,752.62, 13,457.64 and 5,503.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.62 : 13,457.64 = 5,503.30 : x
2. Step 2: Convert to fraction form
   9,752.62/13,457.64 = 5,503.30/x
3. Step 3: Cross multiply
   9,752.62x = 13,457.64 × 5,503.30
4. Step 4: Simplify right side
   9,752.62x = 74,061,430.21
5. Step 5: Solve for x
   x = 74,061,430.21/9,752.62
6. Step 6: Final answer
   x = 7,594.00