Finding the Fourth Proportional to 9,506.76, 13,117.86 and 5,314.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.76 : 13,117.86 = 5,314.20 : x
2. Step 2: Convert to fraction form
   9,506.76/13,117.86 = 5,314.20/x
3. Step 3: Cross multiply
   9,506.76x = 13,117.86 × 5,314.20
4. Step 4: Simplify right side
   9,506.76x = 69,710,931.61
5. Step 5: Solve for x
   x = 69,710,931.61/9,506.76
6. Step 6: Final answer
   x = 7,332.77