Finding the Fourth Proportional to 10,530.64, 14,526.82 and 7,127.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530.64 : 14,526.82 = 7,127.76 : x
2. Step 2: Convert to fraction form
   10,530.64/14,526.82 = 7,127.76/x
3. Step 3: Cross multiply
   10,530.64x = 14,526.82 × 7,127.76
4. Step 4: Simplify right side
   10,530.64x = 103,543,686.52
5. Step 5: Solve for x
   x = 103,543,686.52/10,530.64
6. Step 6: Final answer
   x = 9,832.61